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

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

Annales Polonici Mathematici

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.

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