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

  • Abdul Malik H. AL - Hashemi Department of Mathematics, Faculty of Education Saber Aden University, Yemen
  • Mohammed Fadel Mohammed Department of Mathematics, Faculty of Education Saber Aden University, Yemen
Keywords: N- Fractional Calculus Operator, Generalized Beta function, Logarithm function.

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 .

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References

Miyakoda, T. and Nishimoto, K., Some applications of the multiply elements Beta functions obtained from the - fractional calculus of a power function , Proceeding of the 2nd IFAC , Workshop on fractional differentiation and its applications, Porto, Portugal , July, 19 – 21, 2006 .

Nishimoto , K., Fractional calculus vol.1 . Descartes press, Koriyama , Japan, 1984.

Nishimoto, K., On Nishimoto's fractional calculus operator (on an acting

group ), J. Frac. Calc. 4 (1993), 1-11.

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.

Published
2015-11-04
How to Cite
AL - Hashemi, A. M. H., & Mohammed, M. (2015). Some results for the generalized Beta function using N- fractional calculus. Journal of Progressive Research in Mathematics, 5(5), 634-639. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/449
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Articles