On Some Special Functions for Conformable Fractional Integrals

Authors : Mehmet Zeki SARIKAYA, Abdullah AKKURT, Hüseyin BUDAK, Merve Esra TÜRKAY, Hüseyin YİLDİRİM

Pages : 376-383

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Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :In this paper, we introduce the $\leftinsert ignore into journalissuearticles values( \alpha ,k\right); $-gamma function$,\ \leftinsert ignore into journalissuearticles values( \alpha ,k\right); $-beta function, Pochhammer symbol $\leftinsert ignore into journalissuearticles values( x\right); _{n,k}^{\alpha }\ $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.                                                                                                                                                                                                                                                      
Keywords : Gamma function, beta function, Pochhammer symbol, confromable fractional integrals