Coefficient bounds for q-convex functions related to q-Bernoulli numbers

被引：0

作者：

Breaz, Daniel ^{[1
]}

Orhan, Halit ^{[2
]}

Arikan, Hava ^{[2
]}

Cotirla, Luminita-Ioana ^{[3
]}

机构：

[1] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Iulia, Romania

[2] Atatrk Univ, Dept Math, Fac Sci, TR-25240 Erzurum, Turkiye

[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2025年 / 33卷 / 01期

关键词：

Analytic and univalent functions; q-derivative; q-convex functions; q-Bernoulli numbers; Fekete-Szeg inequality; Hankel determinant; Q-STARLIKE FUNCTIONS; EULER;

D O I：

10.2478/auom-2025-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to present and investigate a subclass C(b, q) of q-convex functions in the unit disk that is defined by the q-Bernoulli numbers. For this subclass, we find the upper bounds on the Fekete-Szeg functional, the coefficient bounds, and the second Hankel determinant.

引用

页码：77 / 92

页数：16

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