Original scientific paper
https://doi.org/10.21857/90836cwk4y
On p-extended Mathieu series
Tibor K. Pogány
orcid.org/0000-0002-4635-8257
; Faculty of Maritime Studies, University of Rijeka, 51 000 Rijeka, Croatia
Rakesh K. Parmar
; Department of Mathematics, Government College of Engineering and Technology, Bikaner 334004, Rajasthan State, India
Abstract
Motivated by several generalizations of the well–known Mathieu series, the main object of this paper is to introduce new extension of generalized Mathieu series and to derive various integral representations of such series. Finally, master bounding inequality is established using the newly derived integral expression.
Keywords
Mathieu series; Generalized Mathieu series; Mellin and Laplace transforms; Bessel function of the first kind; Extended Riemann Zeta function
Hrčak ID:
206198
URI
Publication date:
28.9.2018.
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