Abstract
Motivated by certain current results by Pogány and Parmar [10] in which the authors introduced the so-called p-extended Mathieu series, the main aim of this paper is to present a connection between such series and various types of Schlömilch series.
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Notes
Actually, A p, q (γ) is the Laplace transform of x↦x −1 e −p/x J ν (γx) at the argument q.
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Acknowledgments
Both authors are grateful to the anonymous referees for the comments which significantly contributed to improve the quality of the exposition.
This article has been partially supported by Hrvatska Zaklada za Znanost (HR) grant No. HRZZ-5435.
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Maširević, D.J., Pogány, T.K. p-Extended Mathieu Series from the Schlömilch Series Point of View. Vietnam J. Math. 45, 713–719 (2017). https://doi.org/10.1007/s10013-017-0241-3
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DOI: https://doi.org/10.1007/s10013-017-0241-3