MULTIVALENT FUNCTIONS INVOLVING SRIVASTAVA-TOMOVSKI GENERALIZATION OF THE MITTAG-LEFFLER FUNCTION DEFINED IN THE NEPHROID DOMAIN

被引：0

作者：

Cetinkaya, Asena ^{[1
]}

机构：

[1] Istanbul Kultur Univ, Dept Math & Comp Sci, Istanbul, Turkey

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2021年 / 74卷 / 02期

关键词：

Mittag-Leffler function; differential subordination; majorization; Nephroid domain;

D O I：

10.7546/CRABS.2021.02.02

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 this paper, we introduce a new class of multivalent functions defined by generalized Mittag-Leffler function bounded by Nephroid domain. We investigate majorization properties for this class. Moreover, using the technique of Briot-Bouquet differential subordination, we obtain some subordination properties.

引用

页码：166 / 176

页数：11

共 13 条

[1] Subclasses of p-Valent Functions Involving a New Operator Containing the Generalized Mittag-Leffler Function [J].

Aouf, M. K. ;

Seoudy, T. M. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (04)

[2]

Duren P.L., 1983, Univalent Functions

[3]

Gorenflo R., 2020, Mittag-Leffler Functions, Related Topics and Applications, DOI DOI 10.1007/978-3-662-43930-2

[4] SUBORDINATION BY CONVEX FUNCTIONS [J].

HALLENBECK, DJ ;

RUSCHEWEYH, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 52 (OCT) :191-195

[5]

Janowski W., 1973, Ann. Pol. Math, V28, P297, DOI [10.4064/ap-28-3-297-326, DOI 10.4064/AP-28-3-297-326]

[6]

Ma W.C., 1992, P C COMPLEX ANAL C P, P157

[7] MAJORIZATION BY UNIVALENT FUNCTIONS [J].

MACGREGOR, TH .

DUKE MATHEMATICAL JOURNAL, 1967, 34 (01) :95-+

[8] UNIVALENT SOLUTIONS OF BRIOT-BOUQUET DIFFERENTIAL-EQUATIONS [J].

MILLER, SS .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 56 (03) :297-309

[9]

Mittag-Leffler G, 1903, CR HEBD ACAD SCI, V137, P554

[10]

Nehari Z., 1952, Conformal mapping

← 1 2 →