On Some Special Functions for Conformable Fractional Integrals

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Tarih

2020

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Mehmet Zeki SARIKAYA

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we introduce the $\left( \alpha ,k\right) $-gamma function$,\ \left( \alpha ,k\right) $-beta function, Pochhammer symbol $\left( 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.                                                                                                                                                                                                                                                      

Açıklama

Anahtar Kelimeler

Gamma function|beta function|Pochhammer symbol|confromable fractional integrals

Kaynak

Konuralp Journal of Mathematics

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Cilt

8

Sayı

2

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