MAGED G. BIN-SAAD and SALEM S. AL-QASEMI BARAHAMH

Derivation of generating relations for certain functions of three variables by fractional calculus method

Pages 23-32
Received: 18 April 2005    Revised: 11 January 2006
Mathematics Subject Classification (2000): 33C55

Abstract In this paper, we apply the concept of Nishimoto's fractional calculus to obtain some linear, bilinear and bilateral generating relations involving hypergeometric functions of three variables. A number of ( known and new) results shown to follow as special cases of our formulas.