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2009 ON THE INTEGRAL CONVOLUTION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS
Urszula Bednarz, Janusz Sok´ol
Taiwanese J. Math. 13(5): 1387-1396 (2009). DOI: 10.11650/twjm/1500405547

Abstract

In this paper we consider the convolution properties of the classes of k-uniformly convex and k-starlike functions which have been introduced in [4], [6]. We investigate the problem of stability of integral convolution on certain pairs of such classes and we give the upper and lower bounds of their radius of stability. In the present paper we improve some of the results obtained in [1].

Citation

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Urszula Bednarz. Janusz Sok´ol. "ON THE INTEGRAL CONVOLUTION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS." Taiwanese J. Math. 13 (5) 1387 - 1396, 2009. https://doi.org/10.11650/twjm/1500405547

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1181.30005
MathSciNet: MR2554464
Digital Object Identifier: 10.11650/twjm/1500405547

Subjects:
Primary: 30C45 , 30C50 , 30C55

Keywords: $k$-starlike functions , $k$-uniformly convex functions , Hadamard product , integral convolution , neighborhood of function , stability of convolution

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 5 • 2009
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