GENERATING FUNCTION AND SEMI-ORTHOGONAL FORMULAE FOR A CLASS OF GAUSS' HYPERGEOMETRIC FUNCTIONS

S. D. BAJPAI 1

M. S. ARORA[1]

Sdhana MISHRA[2]

§    ABSTRACT: We present a generating function and three semi-orthogonal formulae for a class of Gauss' hypergeometric functions. We employ semi-orthogonal formulae to generate a theory concerning the finite expansions involving our hypergeometric functions.

§    KEYWORDS: hypergeometric functions; Saalschutz's theorem; generating function; semi-orthogonal formulae. AMS (MOS) subject classification 33C05, 33C25.

 

 



[1] Departaments of Mathematics - University of Bahrain - P. O. Box 32038 - Isa Town - Bahrain.

[2] V.B.R.I. Polytechnic – Vidya Bhawan Rural Institute- Udaipur – INDIA