COMPUTABLE REPRESENTATION OF ULTRA GAMMA INTEGRAL
Journal Title: Journal of Ramanujan Society of Mathematics and Mathematical Sciences - Year 2016, Vol 5, Issue 2
Abstract
A certain integral is there in the literature which some authors call ultra gamma function, some others call it generalized gamma, some others call it Kratzel integral, some others call it inverse Gaussian integral, some others call it reaction-rate probability integral, some others call it Bessel integral, some others call it the unconditional density in a Bayesian structure and some others call it the Mellin convolution of a product. Thus, this integral is very important to various people in different disciplines. In this article, this integral is evaluated in computable series form. It is shown that the names, generalized gamma and ultra gamma are not appropriate for this integral.
Authors and Affiliations
A. M. Mathai
Keywords
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