Successive derivatives and finite expansions involving the H-function of one and more variables
Volume 67 / 1997
Annales Polonici Mathematici 67 (1997), 15-29 DOI: 10.4064/ap-67-1-15-29
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  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.