On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel
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Authors
Joel Esteban Restrepo
- Institute of Mathematics, University of Antioquia, Cl. 53 - 108, Medellin, Colombia.
Armen Jerbashian
- Institute of Mathematics, University of Antioquia, Cl. 53 - 108, Medellin, Colombia.
Praveen Agarwal
- Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India.
Abstract
In this paper, some new integral representations are proved for several weighted hypergeometric functions introduced
recently in [J. E. Restrepo, A. Kılıc¸man, P. Agarwal, O. Altun, Adv. Difference Equ., 2017 (2017), 11 pages]. Besides, some new
subclasses of weighted hypergeometric functions containing the Djrbashian Cauchy type kernel are introduced. The series representing
the considered hypergeometric functions are convergent out of some sets of zero !-capacity, and these hypergeometric
functions have finite boundary values everywhere on \(|z|=1\), out of zero \(\omega\)-capacity sets.
Share and Cite
ISRP Style
Joel Esteban Restrepo, Armen Jerbashian, Praveen Agarwal, On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2340--2349
AMA Style
Restrepo Joel Esteban, Jerbashian Armen, Agarwal Praveen, On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel. J. Nonlinear Sci. Appl. (2017); 10(5):2340--2349
Chicago/Turabian Style
Restrepo, Joel Esteban, Jerbashian, Armen, Agarwal, Praveen. "On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2340--2349
Keywords
- Weighted hypergeometric function
- Djrbashian Cauchy type kernel
- \(\omega\)-capacity
- boundary behavior.
MSC
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