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Mapping Properties for Convolution Involving Hypergeometric Series

Authors :
Adela O. Mostafa
H. M. Zayed
M. K. Aouf
Source :
Ukrainian Mathematical Journal. 70:1688-1699
Publication Year :
2019
Publisher :
Springer Science and Business Media LLC, 2019.

Abstract

We introduce sufficient conditions for (Gaussian) hypergeometric functions to be in a subclass of analytic functions. In addition, we investigate several mapping properties for convolutions and integral convolutions involving hypergeometric functions.

Subjects

Subjects :
Pure mathematics
General Mathematics
Gaussian
010102 general mathematics
Mathematics::Classical Analysis and ODEs
01 natural sciences
Convolution
010101 applied mathematics
symbols.namesake
symbols
Computer Science::Symbolic Computation
0101 mathematics
Hypergeometric function
Algebra over a field
Mathematics
Analytic function

Details

ISSN :
15739376 and 00415995
Volume :
70
Database :
OpenAIRE
Journal :
Ukrainian Mathematical Journal
Accession number :
edsair.doi...........bb286abe9848c8fdd3989e735419e3ce
Full Text :
https://doi.org/10.1007/s11253-019-01611-0
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