Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using extended Pochhammer symbol. First, give generalization and state some integral equations differential formulas about it. Next, obtain results fractional calculus these functions. Finally, an application in kinetic equations.

In this paper, we show that all the coordinate functions of the advanced encryption standard (AES) round function are equivalent under an affine transformation of the input.We also show that such affine relations will always exist if the AES S-box is replaced by any bijective monomial over GF(28). © 2005 Elsevier B.V. All rights reserved.

This paper devoted to the study of incomplete Mittag-Leffler function and some of its properties in terms of incomplete Wright function. 2000 Mathematics Subject Classification: 33E12, 33B15, 11S80.

Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of multivalent analytic functions associated with the Wright generalized hypergeometric function.

Using concepts from valuation theory, we obtain a characterization of all collinearity-preserving functions from one affine or projective Desarguesian plane into another. The case in which the planes are projective and the range contains a quadrangle has been treated previously in the literature. Our results permit one or both planes to be affine and include cases in which the range contains a ...