Geodesic
Successive derivatives and finite expansions involving the H-function of one and more variables
Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 15-29.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-67-1-15-29
Keywords: H-function of several variables, differential operator, expansion formulas, Appell functions, Lauricella functions, Kampé de Fériet function, generalized hypergeometric functions

C. Joshi 1 ; N. Joshi 1

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C. Joshi; N. Joshi. Successive derivatives and finite expansions involving the H-function of one and more variables. Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 15-29. doi : 10.4064/ap-67-1-15-29. http://geodesic.mathdoc.fr/articles/10.4064/ap-67-1-15-29/

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