SOME PROPERTIES ASSOCIATED TO A CERTAIN CLASS OF STARLIKE FUNCTIONS

被引：10

作者：

Masih, Vali Soltani ^{[1
]}

Ebadian, Ali ^{[2
]}

Yalcin, Sibel ^{[3
]}

机构：

[1] PNU, Dept Math, POB 19395-3697, Tehran, Iran

[2] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

[3] Bursa Uludag Univ, Dept Math, Fac Arts & Sci, TR-16059 Bursa, Turkey

来源：

MATHEMATICA SLOVACA | 2019年 / 69卷 / 06期

关键词：

univalent functions; subordination; logarithmic coefficients; starlike functions; domain bounded by cissoid of Diocles; LOGARITHMIC COEFFICIENTS; UNIVALENT;

D O I：

10.1515/ms-2017-0311

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A denote the family of analytic functions f with f(0) = f'(0) - 1 = 0, in the open unit disk Delta. We consider a class S-cs(*)(alpha) := {f is an element of A : (zf'(z)/f(z) -1) (sic) z/1+(alpha-1)z-alpha z(2) , z is an element of Delta}, where 0 <= alpha <= 1/2, and (sic) is the subordination relation. The methods and techniques of geometric function theory are used to get characteristics of the functions in this class. Further, the sharp inequality for the logarithmic coefficients gamma(n) of f is an element of S-cs(*)(alpha): Sigma(infinity)(n=1) vertical bar gamma n vertical bar(2) <= 1/4(1+alpha)(2) (pi(2)/6 - 2Li(2) (-alpha)+Li-2 (alpha(2))), where Li-2 denotes the dilogarithm function are investigated. (C) 2019 Mathematical Institute Slovak Academy of Sciences

引用

页码：1329 / 1340

页数：12

共 21 条

[11]

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