SOME APPLICATIONS OF THE MULTIPLY ELEMENTS BETA FUNCTIONS TO SOME FUNCTIONS OBTAINED FROM THE N-FRACTIONAL CALCULUS OF A POWER FUNCTION

We define a generalized Beta function with n variables by extending the idea of the usual Beta function with 2 variables. And we derive some identities of the generalized Beta function by using the technique of the fractional differintegration to the function (z – c)–1. In order to treat this function, we use the method depending on Nishimoto's fractional calculus (N- fractional calculus).