THE CONVOLUTION OF FINITE NUMBER OF ANALYTIC FUNCTIONS

被引：1

作者：

Sharma, Poonam ^{[1
]}

Raina, Ravinder Krishna ^{[2
]}

Sokol, Janusz ^{[3
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow, Uttar Pradesh, India

[2] MP Univ Agr & Technol, Udaipur, Rajasthan, India

[3] Univ Rzeszow, Fac Math & Nat Sci, Rzeszow, Poland

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2019年 / 105卷 / 119期

关键词：

analytic functions; convolution; subordination; convex functions; SUBORDINATION;

D O I：

10.2298/PIM1919049S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate various results associated with the convolution of finite number of analytic functions involving a certain multiplier operator (defined below). Some useful consequences including a result related to the zeta function are also mentioned.

引用

页码：49 / 63

页数：15

共 18 条

[1]

Abramowitz M., 1971, Handbook of mathematical functions with formulas, graph, and mathematical tables, V9

[2]

Al-Oboudi F. M., 2004, INT J MATH MATH SCI, V2004, P1429

[3]

[Anonymous], 2013, J CLASS ANAL, DOI DOI 10.7153/JCA-02-08

[4]

[Anonymous], CURRENT TOPICS ANAL

[5]

Catas A, 2010, TAIWAN J MATH, V14, P403

[6] SUBORDINATION BY CONVEX FUNCTIONS [J].

HALLENBECK, DJ ;

RUSCHEWEYH, S .

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

[7]

Janowski W., 1973, Ann. Pol. Math, V3, P297, DOI [10.4064/ap-28-3-297-326, DOI 10.4064/AP-28-3-297-326]

[8] THE HARDY SPACE OF ANALYTIC-FUNCTIONS ASSOCIATED WITH CERTAIN ONE-PARAMETER FAMILIES OF INTEGRAL-OPERATORS [J].

JUNG, IB ;

KIM, YC ;

SRIVASTAVA, HM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (01) :138-147

[9]

Miller S.S., 2000, SERIES MONOGRAPHS TE, V225

[10] Subordination and superordination preserving properties for generalized multiplier transformation operator [J].

Prajapat, J. K. .

MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) :1456-1465

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