Majorization and Fekete-Szegö Problems for Multivalent Meromorphic Functions Associated with the Mittag-Leffler Function

LONG Pin-hong, GANGADHARAN Murugusundaramoorthy, HAN Hui-li, WANG Wen-shuai

doi:10.13371/j.cnki.chin.q.j.m.2022.02.001

Chinese Quarterly Journal of Mathematics >

2022 , Vol. 37 >Issue 2: 111 - 123

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.02.001

Majorization and Fekete-Szegö Problems for Multivalent Meromorphic Functions Associated with the Mittag-Leffler Function

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1. School of Mathematics and Statistics, Ningxia University, Yinchuan 750000, China; 2. School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore 632014, India;
3. School of Mathematics and Computer Science, Ningxia Normal University, Guyuan 756099, China

LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application; GANGADHARAN Murugusundaramoorthy (1967-), male, native of Vellore, professor of Vellore Institute of Technology, engages in complex analysis; HAN Hui-li (1972-), female, native of Yinchuan, Ningxia, professor of Ningxia Normal University, engages in complex analysis and its application; WANG Wen-shuai (1980-), male, native of Guyuan, Ningxia, associate professor of Ningxia University, engages in complex analysis and its application.

Received date: 2021-10-04

Online published: 2022-06-30

Supported by

Supported by Natural Science Foundation of Ningxia (Grant No. 2020AAC03066);

National Natural Science Foundation of China (Grant Nos. 42064004 and 11762016)

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Abstract

The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclass the corresponding coefficient estimates and some Fekete-Szeg¨ o type inequalities are obtained. Moreover we point out some new or known consequences of our main results.

Key words： Meromorphic function; Majorization problem; Hadamard product (convolution); Mittag-Leffler function; Fekete-Szeg? inequality

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LONG Pin-hong, GANGADHARAN Murugusundaramoorthy, HAN Hui-li, WANG Wen-shuai . Majorization and Fekete-Szegö Problems for Multivalent Meromorphic Functions Associated with the Mittag-Leffler Function[J]. Chinese Quarterly Journal of Mathematics, 2022 , 37(2) : 111 -123 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.02.001

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