On Some Special Functions for Conformable Fractional Integrals
Konuralp Journal of Mathematics, vol.8, no.2, pp.376-383, 2020 (Scopus)
- Publication Type: Article / Article
- Volume: 8 Issue: 2
- Publication Date: 2020
- Journal Name: Konuralp Journal of Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.376-383
- Keywords: beta function, confromable fractional integrals, Gamma function, Pochhammer symbol
- Kocaeli University Affiliated: No
Abstract
In this paper, we introduce the (α,k)-gamma function, (α,k)-beta function, Pochhammer symbol (x)αn,k and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those given in earlier works.