Integral Representations Mathieu Series Fourier Transform Bessel Function Hankel Transform Fox-Wright Function Sonine-Schafheitlin Formula Fox H-Function 33E20 44A10 33C10 33C20 44A20
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 97p-107p
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. , Tomovski  and Tomovski and Vu Kim Tuan .