CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

Dinesh Kumar, Rajeev Kumar Gupta, Bhupender Singh Shaktawat
2016 Honam Mathematical Journal  
The main aim of this paper is to introduce an extension of the generalized τ -Gauss hypergeometric function r F τ s (z) and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin transform and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
doi:10.5831/hmj.2016.38.4.739 fatcat:gut6pulmwbbilhssbtzrdfgnve