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