Meijer Type Transformation and Related Results
Journal Title: International Journal of Physics, Chemistry and Mathematical Fundamentals (www.ijpcmf.com) - Year 2013, Vol 4, Issue 1
Abstract
In this paper we have proved differentiation and convolution theorem for Meijer type transformation. In past and recent years, many authors have studied Hankel and Hankel type transformations. The Meijer or K- transformation is studied little by researchers as compared to Hankel transformation. Inspired by the ideas of Conlan and Koh [1], our purpose is to study differentiation theorem and convolution theorem. An operational calculus was developed by Ditkin [5] and Prudnikov [7] for the operator D_t t D_t (D_t≡ d/dt) similar to the algebraic approach of Mikusinski [16]. Meller [14], [15] generalized Ditkin’s calculus to operators B_ν= t^(-ν) D_t t^(l+ν) with -1<ν<1.
Authors and Affiliations
B. B. Waphare
Keywords
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