ON A LOGARITHMIC COEFFICIENTS INEQUALITY FOR THE CLASS OF CLOSE-TO-CONVEX FUNCTIONS

被引：0

作者：

Adegani, Ebrahim Analouei ^{[1
]}

Motamednezhad, Ahmad ^{[1
]}

Bulboaca, Teodor ^{[2
]}

Lecko, Adam ^{[3
]}

机构：

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

[2] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[3] Univ Warmia & Mazury, Fac Math & Comp Sci, Dept Complex Anal, Ul Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2023年 / 24卷 / 04期

关键词：

univalent functions; starlike; convex and close-to-convex functions; subordination; subordination function; logarithmic coefficients; dilogarithm function;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In [Logarithmic coefficients problems in families related to starlike and convex functions, J. Aust. Math. Soc., 109, pp. 230-249, 2020] Ponnusamy et al. stated the conjecture for the sharp bounds of the logarithmic coefficients gamma n for f E F (3) as follows and infinity n-ary sumation n=1 ( ) |gamma n| 1 1- 1 , nEN, n 2n+1 |gamma n|2 pi 2 (1) ) (1 6 + 41Li2 -Li2 , 4 2 where Li2 is the Spence's (or dilogarithm) function. In this research we confirm that the conjecture for the above second is true under some additional conditions.

引用

页码：307 / 312

页数：6

共 15 条

[1] Solution of logarithmic coefficients conjectures for some classes of convex functions [J].