Affiliation:
1. Matematički institut SANU, Beograd
2. Óbudai Egyetem Neumann János Informatikai Kar Alkalmazott Matematikai Intézet, Budapest, Magyarország
Abstract
The main object of this article is to present a systematic study of integral
representations for generalized Mathieu series and its alternating variant,
and to derive a new integral expression for these special functions by
contour integration using rectangular integration path. Also, by virtue of
newly established integral form of generalized Mathieu series, we obtain a
new integral expression for the Bessel function of the first kind of half
integer order, solving a related Fredholm integral equation of the first kind
with nondegenerate kernel.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
18 articles.
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