Coefficient estimates for a subclass of meromorphic bi-univalent functions defined by subordination

被引：4

作者：

Adegani, Ebrahim Analouei ^{[1
]}

Motamednezhad, Ahmad ^{[1
]}

Bulut, Serap ^{[2
]}

机构：

[1] Shahrood Univ Technol, Fac Math Sci, POB 316-36155, Shahrood, Iran

[2] Kocaeli Univ, Fac Aviat & Space Sci, Arslanbey Campus, TR-41285 Kartepe Kocaeli, Turkey

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2020年 / 65卷 / 01期

关键词：

Coefficient estimates; Faber polynomial expansion; meromorphic functions; subordinate; STARLIKE; INVERSES;

D O I：

10.24193/subbmath.2020.1.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we use the Faber polynomial expansion by a new method to find upper bounds for vertical bar b(n)vertical bar coefficients for meromorphic bi-univalent functions class Sigma' which is defined by subordination. Further, we generalize and improve some of the previously published results.

引用

页码：57 / 66

页数：10

共 28 条

[1] Differential calculus on the Faber polynomials
Airault, H
Bouali, A
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2006, 130 (03): : 179 - 222
[2] An algebra of differential operators and generating functions on the set of univalent functions
Airault, H
Ren, JG
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2002, 126 (05): : 343 - 367
[3] Airault H., 2008, Int. Math. Forum, V3, P449
[4] Coefficient estimates of negative powers and inverse coefficients for certain starlike functions
Ali, Md Firoz
Vasudevarao, A.
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (03): : 449 - 462
[5] Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions
Ali, Rosihan M.
Lee, See Keong
Ravichandran, V.
Supramaniam, Shamani
[J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 344 - 351
[6] Faber polynomials, Cayley-Hamilton equation and Newton symmetric functions
Bouali, A
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2006, 130 (01): : 49 - 70
[7] Bulboaca T., 2005, Differential Subordinations and Superordinations, Recent Results
[8] Duren P.L., 1983, UNIVALENT FUNCTIONS, V259
[9] Polynomic expansion.
Faber, G
[J]. MATHEMATISCHE ANNALEN, 1903, 57 : 389 - 408
[10] New subclasses of bi-univalent functions
Frasin, B. A.
Aouf, M. K.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1569 - 1573

← 1 2 3 →