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

On Some Special Functions for Conformable Fractional Integrals

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.

Keywords:

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

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Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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