A Study on New Sequence of Functions Involving the Generalized Contour Integral
generating function, generalized contour integral, operational techniques., operational techniques
Abstract
The aim of the present paper is an attempt to introduce a new sequence of functions ) ( ( M,N;P,Q,R; α ) V x;a,k,s / n = 0,1,2,... in equation (1.15), which involving with the generalized contour integral n [ ] I M,N x . By using operational technique, some interesting generating relations and finite summation formulae are P,Q;R 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.
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2013-02-06
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