Radii of α-Convexity of Some Normalized Bessel Functions of the First Kind

被引：0

作者：

Caglar, Murat ^{[1
]}

Deniz, Erhan ^{[1
]}

Szasz, Robert ^{[2
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkey

[2] Sapientia Hungarian Univ Transylvania, Dept Math & Informat, Targu Mures, Romania

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 04期

关键词：

Normalized Bessel functions of the fist kind; convex functions; starlike functions; alpha-convex functions; radii of alpha-convexity; zeros of Bessel functions; STARLIKENESS;

D O I：

10.1007/s00025-017-0738-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper our aim is to determine the radii of convexity of the normalized Bessel functions for two different kinds of normalization in the case when the order is between and . The key tools in the proof of our main results are the Mittag-Leffler expansion for Bessel functions, properties of zeros of the Bessel functions and their derivatives and some inequalities for complex and real numbers.

引用

页码：2023 / 2035

页数：13

共 50 条

[31] Asymptotic Expansions for the Radii of Starlikeness of Normalized q-Bessel Functions
Baricz, Arpad
Kumar, Pranav
Singh, Sanjeev
RESULTS IN MATHEMATICS, 2024, 79 (07)
[32] Bounds for radii of starlikeness and convexity of some special functions
Aktas, Ibrahim
Baricz, Arpad
Orhan, Halit
TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (01) : 211 - 226
[33] Exponential radii of starlikeness and convexity of some special functions
Naz, Adiba
Nagpal, Sumit
Ravichandran, V.
RAMANUJAN JOURNAL, 2024, 65 (01): : 391 - 427
[34] THE MONOTONICITY AND CONVEXITY FOR THE RATIOS OF MODIFIED BESSEL FUNCTIONS OF THE SECOND KIND AND APPLICATIONS
Yang, Zhen-Hang
Zheng, Shen-Zhou
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (07) : 2943 - 2958
[35] Powers of modified Bessel functions of the first kind
Baricz, Arpad
APPLIED MATHEMATICS LETTERS, 2010, 23 (06) : 722 - 724
[36] ZEROS' DISTRIBUTION OF THE FIRST KIND BESSEL FUNCTIONS
Hsu, Cheng-Hsiung
Yang, Chi-Ru
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2016, 8 (03): : 377 - 384
[37] Radii of Starlikeness and Convexity of the Derivatives of Bessel Function
E. Deniz
S. Kazımoğlu
M. Çağlar
Ukrainian Mathematical Journal, 2022, 73 : 1686 - 1711
[38] Radii of Starlikeness and Convexity of the Derivatives of Bessel Function
Deniz, E.
Kazimoglu, S.
Caglar, M.
UKRAINIAN MATHEMATICAL JOURNAL, 2022, 73 (11) : 1686 - 1711
[39] Functional inequalities involving Bessel and modified Bessel functions of the first kind
Baricz, Arpad
EXPOSITIONES MATHEMATICAE, 2008, 26 (03) : 279 - 293
[40] (p, q)-Extended Bessel and Modified Bessel Functions of the First Kind
Dragana Jankov Maširević
Rakesh K. Parmar
Tibor K. Pogány
Results in Mathematics, 2017, 72 : 617 - 632

← 1 2 3 4 5 →