Research
New Generating Functions Pertaining To Generalized Mellin-Barnes Type of Contour Integrals
The aim of the present paper is to evaluate new generating functions of H-function, using Truesdell’s ascending and descending F-equation technique. These formulae are unified in nature and act as the key formulae from which we can obtain as their special cases. For the sake of illustration, we record here some special cases of our main formulae, which are believe to be new and important themselves.
New Theorems Involving The I-function and General Class of Polynomials
In the present paper we first establish three new theorems, which involves I-function and general class of polynomials. Next, we obtain certain new integrals and expansion formulas by the application of our theorems. By giving suitable values to the parameters, main integral reduces to Fox's H-function, G-function and generalized wright hypergeometric function, etc.
A Study on New Sequence of Functions Involving the Generalized Contour Integral
The aim of the present paper is an attempt to introduce a new sequence of functions { (M,N;P,Q,R; ) ( ) } n V x;a, k,s / n 0,1, 2,... α = in equation (1.15), which involving with the generalized contour integral M,N [ ] P,Q;R I x . By using operational technique, some interesting generating relations and finite summation formulae are obtained in sections 2 and 3. These generating relations and finite summation formulae are unified in nature and act as key formulae from which, we can obtain as their special cases. For the sake of illustration we record here some special cases of our main formulas in section 4, which are also new and known.
