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Abstract
The main aim of this article is to establish certain closed expressions for the Schlömilch series which members contain modified Bessel functions of the second kind and to obtain connection between special case of such series and a generalized Mathieu series. Closed expressions for the Schlömilch series with members containing products of
and modified Bessel function of the first kind
are derived as a by-product of these results.
AMS Subject Classification:
Acknowledgments
The author wishes to thank Tibor K. Pogány for his very kind and continuous help in preparing, improving and finishing the manuscript of this article.
Funding
The research of D. Jankov Maširević was supported by the Croatian Science Foundation under Project 5435.