Some results for the generalized Beta function using N- fractional calculus

Ahmed Al-Gonah, Abdul Malik H. AL – Hashemi, Mohammed Fadel Mohammed

Abstract


In this paper ,some results for the generalized Beta function are derived by using N-fractional calculus of the logarithm function . Also, some results associated with the usual Beta function are obtained as special cases of the main results .

Keywords


N- Fractional Calculus Operator, Generalized Beta function, Logarithm function.

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References


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Nishimoto, K., Ring and field produced from the set of - fractional

calculus operator , J. Frac. Calc. 24 (2003), 29-36 .

Rainville, E. D., Special functions , Chelsea Pub. Com. Bronx, New York, 1960.


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