Geodesic
On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel
Restrepo, Joel Esteban1 ; Jerbashian, Armen1 ; Agarwal, Praveen2
1 Institute of Mathematics, University of Antioquia, Cl. 53 - 108, Medellin, Colombia
2 Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2340-2349.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.05.06
Classification : 33C20, 31A10, 31A20
Keywords: Weighted hypergeometric function, Djrbashian Cauchy type kernel, \(\omega\)-capacity, boundary behavior.

Restrepo, Joel Esteban 1 ; Jerbashian, Armen 1 ; Agarwal, Praveen 2

1 Institute of Mathematics, University of Antioquia, Cl. 53 - 108, Medellin, Colombia
2 Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India 
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Restrepo, Joel Esteban; Jerbashian, Armen; Agarwal, Praveen. On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2340-2349. doi : 10.22436/jnsa.010.05.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.05.06/

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