On Some Formulas for the k-Analogue of Appell Functions and Generating Relations via k-Fractional Derivative
Year: 2020
Type: article
Abstract: Our present investigation is mainly based on the k-hypergeometric functions which are constructed by making use of the Pochhammer k-symbol in Diaz et al. 2007, which are one of the vital generalizations of hypergeometric functions. In this study, we focus on the k-analogues of F1Appell function introduced by Mubeen et al. 2015 and the k-generalizations of F2 and F3 Appell functions indicated in Kıymaz et al. 2017. we present some important transformation formulas and some reduction formulas which show close relation not only with k-Appell functions but also with k-hypergeometric functions. Employing the theory of Riemann–Liouville k-fractional derivative from Rahman et al. 2020, and using the relations which we consider in this paper, we acquire linear and bilinear generating relations for k-analogue of hypergeometric functions and Appell functions.
Source: Fractal and Fractional
Authors: Övgü Gürel Yılmaz, Rabia Aktaş, Fatma Taşdelen
Institutions: Recep Tayyip Erdoğan University, Ankara University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,056
OpenAlex ID: W3044378317