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刘金林

领域:新一代信息技术产业 学校:扬州大学职称:教授

复分析、几何函数论...

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教育背景

工作经历

项目课题经历

● 主持国家自然科学基金1项(No.11571299)。

● 主持江苏省自然科学基金1项(No.BK20151304)。

● 主持江苏省教改课题1项(No.2015JSJG290)。

● 主持完成数学天元基金1项。

● 主持完成江苏省高校自然科学基金2项。

● 参加完成国家自然科学基金1项。

论文、成果、著作等

(二) “Liu-Srivastava operator”和“Liu-Owa operator”

1、与加拿大University of Victoria数学系H.M. Srivastava教授合作发表的文章:

●J.-L. Liu and H. M. Srivastava, A linear operator and associated families of meromorphically multivalent functions,J. Math. Anal. Appl.259(2001),566-581.

一文中构建的算子,被国际上一些学者称为“Liu-Srivastava operator”并在文章中引用, 通过Google学术搜索,部分以此为标题的文献如下:

[1] R.M. Ali, V. Ravichandran andN. Seenivasagan, Subordination and superordination of the Liu-Srivastavalinear operator on meromorphic functions, Bull.Malays Math. Sci. Soc. 31(2008), 193-207.

[2] N.E.Cho, O.S. Kwon and H.M. Srivastava,Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu-Srivastava operator, Integral Transforms Spec. Funct.21(2010), 589-601.

[3] R.W.Ibrahim and M.Darus, Certain studies of the Liu-Srivastava linear operator on meromorphic functions, Inter.J.Physical Sci.6(2011), 3736-3739.

[4] N.E. Cho, Sandwich-type theorems for meromorphic multivalent functions associated with the Liu-Srivastava operator, Acta Math. Scientia 32(2012), 929-941.

[5] R.M. Ali, R. Chandrashekar, S.K. Lee, A. Swaminathan and V. Ravichandran, Differential sandwich theorem for multivalent meromorphic functions associated with the Liu-Srivastava operator, Kyunpook Math. J. 52(2011), 217-232.

2、与日本Kinki University数学系S.Owa教授合作发表的文章:

●J.-L. Liu and S. Owa, On a class of multivalent functions involving certain linear operator, Indian J. Pure Appl. Math. 33(2002), 1713-1722.

一文中构建的算子,被国际上一些学者称为“Liu-Owa operator”并引用, 通过Google学术搜索,部分以此为标题的文献如下:

[1] M.K. Aouf and T.M. Seoudy, Some preserving subordination and supordination of the Liu-Owa integral operator, Complex Analysis and Operator Theory 7(2013),275-283.

[2] M.K. Aouf and B.Teodor, Subclasses of multivalent functions involving the Liu-Owa operator, Quaestiones Math.33(2010), 325-340.

[3] M.K. Aouf and T.M. Seoudy, Some properties of a certain subclass of multivalent analytic functions involving the Liu-Owa operator, Comput.Math.Appl.60(2010), 1525-1535.

[4] M.K. Aouf and T.M. Seoudy, Some preserving subordination and superordination of analytic functions involving the Liu-Owa integral operator, Comput.Math.Appl.62(2011), 3575-3580.

[5] M.K. Aouf and T.M. Seoudy, On a certain subclass of multivalent analytic functions defined by the Liu-Owa operator,Bull.Belg.Math.Soc.Simon Stevin48(2011), 941-955.

(三)评审国外博士学位论文

近年来,本人为K.I.Noor教授、V. Ravichandran教授等指导的9名博士生评审了博士学位论文。特别地,印度Berhampur University 数学系A.K. Mishra教授,于1981年获得理学博士学位,2011年A.K. Mishra教授申报印度科学博士(D.Sc.)学位,本人是其科学博士论文的评审人之一。

[1] A.K.Mishra:“Contributions to the study of univalent and multivalent functions(Convexity Techniques, Fractional Calculus, Inverse Functions and Operator Theoretic Aspects)”.

---Supervised by Professor S.Pattanayak, Sep.12, 2011.

[2] Ali Muhammad: “Some selected topics in Geometric Functions Theory of a complex variable”.

---Supervised by Professor K.I. Noor, April 1, 2009.

[3] ArifMuhammad: “Some subclasses of analytic functions in Geometric Function Theory”.

---Supervised by Professor K.I. Noor, April 9, 2010.

[4] Saima Mustafa: “Differential subordination and convolution techniques for certain classes of analytic functions”。

---Supervised by Professor K.I. Noor, September 14, 2010.

[5] Bushra Malik: “On certain generalizations of functions with bounded boundary rotation”.

---Supervised by Professor K.I. Noor, November 28, 2011.

[6] Sarfraz Nawaz, “Certain subclasses of analytic functions associated with conic domain”.

---Supervised by Professor K.I. Noor, March 7, 2012.

[7] Fiaz Amber, “On some meromorphic and multivalent functions”.

---Supervised by Professor K.I. Noor, May 30, 2012.

[8] Naveen Kumar Jain, “Radius constanas for geometric properties of univalent functions”.

---Supervised by Professor V. Ravichandran, November 26, 2013.

[9] Khalil Ahmad, “Uniformly convex and Bazilevic functions”.

---Supervised by Professor K.I. Noor, August 2, 2014.

[10] Rehman Jehangir, “Topics in Generalized Topology and Fuzzy GeneralizedContinuities”.

---Supervised by Professor Moiz ud Din Khan, January 28, 2015.

[11] Rajni Mendiratta, “Subordination and radius problems for some classes of univalent functions”.

---Supervised by Professor V. Ravichandran, January 29, 2015.

[12] Qazi Zahoor Ahmad, “On some classes of meromorphic functions related with certain linear operators”.

---Supervised by Professor K.I. Noor, August 12, 2015.

[13] Rabia Fayyaz, “On some classes of generalized k-uniformly analytic functions and related topics”.

---Supervised by Professor K.I. Noor, January 8, 2016.

五、主要发表论文情况:

在美国、日本、英国、德国、荷兰、台湾、马来西亚、伊朗、罗马尼亚、韩国、斯洛伐克、比利时、波兰、印度、土耳其、塞尔维亚、中国等国际学术刊物发表研究论文100多篇。

● J.-L. Liu, Applications of differential subordinations for generalized Bessel functions, Houston J. Math. 45(2019), 71-85. (SCI )

● K. Ahmad, M. Arif and J.-L. Liu, Convolution properties for a family of analytic functions involving q-analogue of Ruscheweyh differential operator, Turkish J. Math. 43(2019), 1712-1720. (SCI )

● J.-L. Liu and R. Srivastava, Hadamard products of certain classes of p-valent starlike functions, Rev. Real Acad. Cienc. Exactas Fis. Natur. Ser. A Mat., 113(2019), 2001-2015. (SCI )

● J.-L. Liu, R. Srivastava and Y.-H. Xu, Integral transforms and partial sums of certain p-valent starlike functions, Rev. Real Acad. Cienc. Exactas Fis. Natur. Ser. A Mat., 113(2019), 845-859. (SCI )

● L. Shi, Q. Khan, G. Srivastava, J.-L. Liu and M. Arif, A Study of Multivalent q-starlike Functions Connected with Circular Domain, Mathematics. 7(2019), 670, 12 page. (SCI )

● J.-L. Liu, New Applications of the Srivastava–Tomovski Generalization of the Mittag-Leffler Function, Iran J. Sci. Technol. Trans. Sci. 43(2019), 519-524. (SCI )

● C.-M. Yan and J.-L. Liu, Geometric Properties of Certain Analytic Functions Associated with the Dziok-Srivastava Operator, Symmetry 11(2019), 259, 8 page. (SCI)

● J.-L. Liu, On certain p-valent close-to-convex functions of order βand type α, Rev. Real Acad. Cienc. Exactas Fis. Natur. Ser. A Mat., 113(2019), 49-57. (SCI)

● J.-L. Liu and R. Srivastava, Two new subclasses of p-valent starlike functions, Rev. Real Acad. Cienc. Exactas Fis. Natur. Ser. A Mat., 113(2019), 189-202. (SCI)

● Y. Yuan, R. Srivastava and J.-L. Liu, The Order of Strongly Starlikeness of the Generalized a-Convex Functions, Symmetry 11(2019), 76, 9 page. (SCI)

● S. Noreen, M. Raza, J.-L. Liu and M. Arif, Geometric Properties of Normalized Mittag–Leffler Functions, Symmetry 11(2019), 45, 13 page. (SCI )

● M. Arif, K. Ahmad, J.-L. Liu and J. Sokol, A New Class of Analytic Functions Associated with Sslsgean Operator, J. Funct. Spaces, Volume 2019, Article ID 6157394, 8 pages. (SCI)

● J.-L. Liu and R. Srivastava, A linear operator associated with the Mittag-Leffler function and related conformal mappings, J. Appl. Anal. Comput. 8(2018), 1886-1892. (SCI)

● Y.-L. Cang and J.-L. Liu , A family of multivalent analytic functions associated with Srivastava-Tomovski generalization of the Mittag-Leffler function, Filomat 32(2018), 4619-4625. (SCI)

● C.-M. Yan and J.-L. Liu, A family of meromorphic functions involving generalized Mittage–Leffler function, J. Math. Inequal. 12(2018), 943-951. (SCI)

● Y.-H. Xu and J.-L. Liu, Convolution and partial sums of certain multivalent analytic functions involving Srivastava–Tomovski generalization of the Mittag–Leffler function, Symmetry 10(2018), 597, 8 page. (SCI)

● Y.-H. Xu and J.-L. Liu, On certain multivalent analytic functions starlike with respect to k-symmetric points, Hacettepe Journal of Mathematics and Statistics, 47 (2018), 1156–1171. (SCI)

● Y.-H. Xu and J.-L. Liu, On a new subclass of p-valent close-to-convex mappings defined by two-sided inequality, J. Funct. Spaces, Volume 2018, Article ID 8654835, 6 pages. (SCI)

● Y.-L. Cang and J.-L. Liu, Some Applications of Differential Subordinations for Generalized Bessel Functions, Bull. Iranian Math. Soc. 44 (2018) , 879–890. (SCI)

● J.-L. Liu and R. Srivastava , The order of starlikeness of some classes of strongly starlike functions, Quaestiones Mathematicae 41(2018), 707–718. (SCI)

● C.-M. Yan and J.-L. Liu, Convolution properties for meromorphically multivalent functions involving generalized Bessel functions, Rev. Real Acad. Cienc. Exactas Fis. Natur. Ser. A Mat., 112(2018), 293-299. (SCI)

● M. Arif, M. Haq and J.-L. Liu, A Subfamily of Univalent Functions Associated with q-Analogue of Noor Integral Operator, J. Funct. Spaces, Volume 2018, Article ID 3818915, 5 pages. (SCI)

● Y.-J. Liu and J.-L. Liu, Integral transforms and partial sums of certain meromorphically p-valent starlike functions, J. Nonlinear Sci. Appl., 11 (2018), 228–236.

● J.-L. Liu , H. M. Srivastava and Y. Yuan, A family of meromorphically multivalent functions which are starlike with respect to k–symmetric points, J. Math. Inequal. 11(2017), 781-798. (SCI)

● J.-L. Liu and R. Srivastava, Inclusion and distortion properties for certain meromorphically multivalent functions, Quaestiones Mathematicae 40(2017), 927–935. (SCI)

● Y.-L. Cang and J.-L. Liu, Some subclasses of meromorphically multivalent functions associated with the Dziok-Srivastava operator, Filomat 31(2017), 2449–2458. (SCI )

● J.-L. Liu and R. Srivastava, Convolution properties for certain meromorphically multivalent functions, Filomat 31(2017), 113–123. (SCI)

● Y.-L. Cang and J.-L. Liu, Notes on the paper “A criterion for bounded functions” [Bull. Korean Math. Soc. 53 (2016), no.1, 215–225], Bull. Korean Math. Soc. 53 (2016), 1909–1911. (SCI)

● Y. Yuan and J.-L. Liu, Some Properties of New Classes of Analytic Functions, Filomat 30(2016), 3565–3574. (SCI)

● Y.-H. Xu and J.-L. Liu, On subordinations for certain multivalent analytic functions in the right-half plane, J. Func. Spaces, Volume 2016, Article ID 1782916, 4 pages. (SCI)

● Y.-L. Cang and J.-L. Liu, Convolution properties for certain subclasses of analytic functions, J. Appl. Anal. Comput.6(2016), 396-408. (SCI)

● D.-G. Yang and J.-L. Liu, On functions starlike with respect to k-symmetric points, Houston J. Math. 41(2015), 445-470. (SCI)

● Y.-H. Xu and J.-L. Liu, New Applications of Nunokawa’s lemmas, J. Func. Spaces, Volume 2015, Article ID 241264, 5 pages. (SCI)

● Y.-L. Cang and J.-L. Liu, Radius of convexity for certain analytic functions associated with the lemniscates of Bernoulli, Expo. Math. 33(2015), 387-391. (SCI)

● Y.-H. Xu and J.-L. Liu, Properties of certain subclasses of multivalent analytic functions, Filomat 29(2015), 1857-1867. (SCI)

● D.-G. Yang and J.-L. Liu, Certain subclasses of meromorphically multivalent functions, Houston J. Math. 40(2014), 527-554. (SCI)

● D.-G. Yang and J.-L. Liu, Some subclasses of meromorphic and multivalent functions, Ann. Polon. Math. 111(2014), 73-88. (SCI)

● M.-T. Lu, T. Jia, X.-Q. Ling and J.-L. Liu, Applications of differential subordination for argument estimates of multivalent analytic functions, Abstr. Appl. Anal., Volume 2014, Article ID 634710, 4 pages. (SCI)

● Y.-L. Cang and J.-L. Liu, On certain subclasses of multivalent analytic functions, Filomat 28(2014), 2111-2119. (SCI)

● Y.-H. Xu and J.-L. Liu, Univalence conditions of certain integral operators, Math. Slovaca 64(2014), 333-338. (SCI)

● Y.-Q. Tao and J.-L. Liu, Certain sufficient conditions for strongly starlikeness and convexity, Fixed Point Theory Appl. 2013, 2013:88. (SCI)

● Y.-L. Cang and J.-L. Liu, On certain univalent functions with missing coefficients, Adv. Differ. Equ. 2013, 2013:89. (SCI)

● D.-G. Yang and J.-L. Liu, New subclasses of multivalent analytic functions associated with a linear operator, Abstr. Appl. Anal., Volume 2013, Article ID 849747, 9 pages. (SCI)

● Y.-L. Cang and J.-L. Liu, Certain subclasses of multivalent analytic functions, Abstr. Appl. Anal., Volume 2013, Article ID 890404, 8 pages. (SCI)

● Y.-H. Xu, B. A. Frasin and J.-L. Liu, Certain sufficient conditions for starlikeness and convexity of meromorphically multivalent functions, Acta Math. Sci. Ser. B Engl. Ed. 33(2013), no. 1300-1304. (SCI)

● J.-L. Liu, A note on meromorphically multivalent functions with missing coefficients, Math. Slovaca 63(2013), 77-82. (SCI)

● J.-L. Liu, A remark on meromorphically multivalent functions with missing coefficients, Hacettepe J. Math. Statistics, 42(2013), 125-129. (SCI)

● Y.-L. Cang and J.-L. Liu, Some sufficient conditions for starlikeness and convexity of order , J. Appl. Math., Volume 2013, Article ID 869469, 4 pages. (SCI)

● J.-L. Liu, On a subclasses of multivalent analytic functions associated with an extended fractional differintegral operator, Bull. Iranian Math. Soc. 39(2013), 107-124. (SCI)

● D.-G. Yang and J.-L. Liu, Radius of convexity for certain multivalent functions with missing coefficients, Bull. Belg. Math. Soc. Simon Stevin 19(2012), 763-767. (SCI)

● J.-L. Liu, Properties of multivalent functions associated with a certain integral operator, Bull. Iranian Math. Soc. 38(2012), 461-468. (SCI)

● Y.-H. Xu, Q. Yang and J.-L. Liu, Some properties of meromorphically multivalent functions, J. Inequal. Appl. 2012, 2012:86,6 pages. (SCI)

● J.-L. Liu, Some argument inequalities for certain analytic functions, Math.Slovaca 62(2012), 25-28. (SCI)

● Q. Yang and J.-L. Liu, Argument property for certain analytic functions, Abstr. Appl. Anal., Volume 2012, Article ID 391038, 8 pages. (SCI)

● J.-L. Liu, Sufficient conditions for strongly starlike functions involving the generalized Srivastava-Attiya operator, Integral Trans. Spec. Funct. 22(2011), 79-90. (SCI)

● D.-G. Yang and J.-L. Liu, Certain inequality properties of multivalent analytic functions involving the Dziok-Srivastava operator, Appl. Math. Comput.218(2011), 924-928. (SCI)

● D.-G. Yang and J.-L. Liu, A class of analytic functions with missing coefficients, Abstr. Appl. Anal., Volume 2011, Article ID 456729, 16 pages. (SCI)

● Y. Yang, Y.-Q. Tao and J.-L. Liu, Differential subordinations for certain meromorphically multivalent functions defined by Dziok-Srivastava operator, Abstr. Appl. Anal., Volume 2011, Article ID 726518, 9 pages. (SCI)

● J.-L. Liu, Certain sufficient conditions for strongly starlike functions associated with an integral operator, Bull. Malaysian Math.Sci.Soc.34(2011), 21-30. (SCI)

● J.-L. Liu, On sufficient conditions for strongly starlike functions associated with a linear operator, Bull. Korean Math. Soc. 48(2011), 697-704. (SCI)

● J.-L. Liu, Certain properties of meromorphically multivalent functions, Math. Slovaca 61(2011), 173-180. (SCI)

● D.-G. Yang and J.-L. Liu , On a class of analytic functions with missing coefficients, Appl. Math. Comput. 215(2010), 3473-3481. (SCI)

● D.-G. Yang and J.-L. Liu , Argument inequalities for certain analytic functions, Math. Comput. Modelling 52(2010), 1812-1821. (SCI)

● D.-G. Yang and J.-L. Liu, Some sufficient conditions for p-valent strongly starlike functions, Comput. Math. Appl. 59(2010), 2018-2025. (SCI)

● J.-L. Liu and Om P. Ahuja, Differential subordinations and argument inequalities, J. Franklin Institute 347(2010), 1430-1436. (SCI)

● J.-L. Liu, Some properties of certain meromorphically multivalent functions, Appl. Math. Comput.210(2009), 136-140. (SCI)

●J.-L. Liu and H. M. Srivastava, A class of multivalent analytic functions associated with the Dziok-Srivastava operator, Integral Transforms Spec. Funct. 20(2009), 401-417. (SCI)

● J.-L. Liu, Properties of certain subclass of multivalent functions defined by an integral operator, Complex Variables and Elliptic Equations, 54(2009), 471-483. (SCI)

●J.-L. Liu, On subordinations for certain analytic functions associated with the Dziok-Srivastava linear operator, Taiwanese J. Math.13(2009), 349-357. (SCI)

●J.-L. Liu and J. Patel, Certain properties of multivalent functions associated with an extended fractional differintegral operator, Appl. Math. Comput.203(2008), 703-713. (SCI)

●J.-L. Liu, Subordinations for certain multivalent analytic functions associated with the generalized Srivastava-Attiya operator, Integral Transforms Spec. Funct. 19(2008), 893-901. (SCI)

●D.-G. Yang and J.-L. Liu, A class of meromorphically multivalent functions defined by means of a linear operator, Appl. Math. Comput.204(2008), 862-871. (SCI)

●J.-L. Liu, Further properties of a certain subclass of analytic and multivalent functions, Appl. Math. Comput.187(2007), 290-294. (SCI)

●J.-L. Liu and K. I. Noor, On subordinations for certain analytic functions associated with Noor integral operator, Appl. Math. Comput.187(2007), 1453-1460. (SCI)

● J.-L. Liu, Notes on Jung-Kim-Srivastava integral operator, J. Math. Anal. Appl. 294(2004), 96-103. (SCI)

● J.-L. Liu and H. M. Srivastava, Certain properties of the Dziok-Srivastava operator, Appl. Math. Comput.159(2004), 485-493. (SCI)

● J.-L. Liu and H. M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling 39(2004), 21-34. (SCI)

● J.-L. Liu and H. M. Srivastava, Subclasses of meromorphically multivalent functions associated with a certain linear operator, Math. Comput. Modelling 39(2004), 35-44. (SCI)

● J.-L. Liu and S. Owa, Properties of certain integral operator, Int. J. Math. Sci. 3(2004), 351-359.

● J.-L. Liu and S. Owa, Some families of meromorphic multivalent functions involving certain linear operator, Indian J. Math. 46(2004), 47-62.

● J.-L. Liu and H. M. Srivastava, Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions, Appl. Math. Lett.16(2003), 13-16. (SCI)

● D.-G. Yang and J.-L. Liu, On Sakaguchi functions, Int. J. Math. Math. Sci. 30(2003), 1923-1931.

● J.-L. Liu, Applications of the Noor integral operator to multivalent functions, J. Nat. Geom. 24(2003), 11-20.

● J.-L. Liu and S. Owa, On a class of multivalent functions involving certain linear operator, Indian J. Pure Appl. Math. 33(2002),1713-1722. (SCI)

● J.-L. Liu, A linear operator and strongly starlike function, J. Math. Soc.Japan54(2002), 975-981. (SCI)

● J.-L. Liu and K.I.Noor, Some properties of Noor integral operator, J. Nat. Geom. 21(2002), 81-90.

● D.-G. Yang and J.-L. Liu, On a class of analytic functions involving Ruscheweyh derivatives, Bull. Korean Math. Soc. 39(2002), 123-131. (SCI)

● J.-L. Liu, Certain integral operator and strongly starlike functions, Int. J. Math. Math. Sci. 30(2002), 569-574.

● J.-L. Liu and S. Owa, On a class of meromorphic p-valent functions involving certain linear operators, Int. J. Math. Math. Sci. 32(2002), 271-280.

● J.-L. Liu, The Noor integral and strongly starlike functions, J. Math. Anal. Appl. 261(2001), 441-447. (SCI)

● J.-L. Liu and H. M. Srivastava, A linear operator and associated families of meromorphically multivalent functions, J. Math. Anal. Appl. 259(2001), 566-581. (SCI)

● J.-L. Liu, Properties of some families of meromorphic p-valent functions, Math. Japon. 52(2000), 425-434.

● J.-L. Liu, Ruscheweyh derivative and strongly starlike functions, Tsukaba J. Math. 24(2000), 303-309.

● D.-G. Yang and J.-L. Liu, On a class of univalent functions, Int. J. Math. Math. Sci. 22(1999), 605-610.

● J.-L. Liu and S. Owa, On certain meromorphic p-valent functions, Taiwanese J. Math. 2(1998), 107-110. (SCI)

● J.-L. Liu, On subordination for certain subclass of analytic function, Internat. J. Math. Math.Sci. 20(1997),225-228.

● J.-L. Liu, Notes on the Ruscheweyh derivatives, J. Math. Anal. Appl. 199(1996), 936-940.(SCI)

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