Displaying similar documents to “Pochhammer symbol with negative indices. A new rule for the method of brackets”

The Umbral operator and the integration involving generalized Bessel-type functions

Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Praveen Agarwal, Mujahed Al-Dhaifallah (2015)

Open Mathematics

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The main purpose of this paper is to introduce a class of new integrals involving generalized Bessel functions and generalized Struve functions by using operational method and umbral formalization of Ramanujan master theorem. Their connections with trigonometric functions with several distinct complex arguments are also presented.

Successive derivatives and finite expansions involving the H-function of one and more variables

C. M. Joshi, N. L. Joshi (1997)

Annales Polonici Mathematici

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Certain results including the successive derivatives of the H-function of one and more variables are established. These remove the limitations of Ławrynowicz's (1969) formulas and as a result extend the results of Skibiński [13] and various other authors. As an application some finite expansion formulas are also established, which reduce to hypergeometric functions of one and more variables that are of common interest.