132 research outputs found
Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions
Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12,
33E20, 40A30The main purpose of this paper is to present a number of potentially
useful integral representations for the generalized Mathieu series as well as
for its alternating versions via Mittag-Leffler type functions
On the theorem of N. Singh and K. M. Sharma
A new short proof of the Theorem of N. Singh and K. M. Sharma (see [7]) is given
On Hankel Transform of Generalized Mathieu Series
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number
of integral transforms of Hankel type are derived here for general families
of Mathieu type series. These results generalize the corresponding ones on
the Fourier transforms of Mathieu type series, obtained recently by Elezovic
et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20]
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