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Exponential Starlikeness and Convexity of Confluent Hypergeometric, Lommel, and Struve Functions.

Authors :
Naz, Adiba
Nagpal, Sumit
Ravichandran, V.
Source :
Mediterranean Journal of Mathematics; Dec2020, Vol. 17 Issue 6, p1-22, 22p
Publication Year :
2020

Abstract

Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind, and the confluent hypergeometric function under which these special functions become exponential convex and exponential starlike in the open unit disk. The method of differential subordination is employed in proving the results. Few examples are also provided to illustrate the results obtained. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16605446
Volume :
17
Issue :
6
Database :
Complementary Index
Journal :
Mediterranean Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
146795398
Full Text :
https://doi.org/10.1007/s00009-020-01621-4