TY - JOUR AU - Restrepo, Joel Esteban AU - Jerbashian, Armen AU - Agarwal, Praveen PY - 2017 TI - On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel JO - Journal of Nonlinear Sciences and Applications SP - 2340--2349 VL - 10 IS - 5 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.05.06 DO - 10.22436/jnsa.010.05.06 ID - Restrepo2017 ER -