On Hankel Transform of Generalized Mathieu Series
Fractional calculus and applied analysis, Tome 12 (2009) no. 1, pp. 97-107
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
By 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].
Keywords:
Integral Representations, Mathieu Series, Fourier Transform, Bessel Function, Hankel Transform, Fox-Wright Function, Sonine-Schafheitlin Formula, Fox H-Function, 33E20, 44A10, 33C10, 33C20, 44A20
@article{FCAA_2009_12_1_a7,
author = {Tomovski, \v{Z}ivorad},
title = {On {Hankel} {Transform} of {Generalized} {Mathieu} {Series}},
journal = {Fractional calculus and applied analysis},
pages = {97--107},
publisher = {mathdoc},
volume = {12},
number = {1},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a7/}
}
Tomovski, Živorad. On Hankel Transform of Generalized Mathieu Series. Fractional calculus and applied analysis, Tome 12 (2009) no. 1, pp. 97-107. http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a7/