%0 Journal Article
%T On a Unification of Generalized Mittag-Leffler Function and Family of Bessel Functions
%A Jyotindra C. Prajapati
%A Bhadresh I. Dave
%A Bharti V. Nathwani
%J Advances in Pure Mathematics
%P 127-137
%@ 2160-0384
%D 2013
%I Scientific Research Publishing
%R 10.4236/apm.2013.31017
%X <p align=\"justify\">
	<span style=\"font-family:Verdana;font-size:10pt;\">In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc. The properties include absolute and uniform convergence, differential recurrence relation, integral representations in the form of Euler-Beta transform, Mellin-Barnes transform, Laplace transform and Whittaker transform. The special cases namely the generalized hypergeometric function, generalized Laguerre polynomial, Fox H-function etc. are also obtained.</span> 
</p>
%K Generalized Mittag-Leffler Function
%K Recurrence Relation
%K Wiman¡¯s Function
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=27387