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Details for article 2 of 5 found articles
| Title: |
Integral representations and integral transforms of some families of Mathieu type series |
| Author: |
Elezovic, Neven Srivastava, H. M. Tomovski, zivorad |
| Appeared in: |
Integral transforms and special functions |
| Paging: | Volume 19 (2008) nr. 7 pages 481-495 |
| Year: |
2008-07 |
| Contents: |
By using some integral representations for several Mathieu type series (see P.L. Butzer, T.K. Pogany, and H.M. Srivastava, A linear ODE for the Omega function associated with the Euler function Eα(z) and the Bernoulli function Bα(z), Appl. Math. Lett. 19 (2006), pp. 1073-1077; P. Cerone and C.T. Lenard, On integral forms of generalised Mathieu series, J. Inequal. Pure Appl. Math. 4 (5) (2003), Article 100, pp. 1-11 (electronic), T.K. Pogany; H.M. Srivastava and Z. Tomovski, Some families of Mathieu a-series and alternating Mathieu a-series, Appl. Math. Comput. 173 (2006), pp. 69-108; H.M. Srivastava and Z. Tomovski, Some problems and solutions involving Mathieu's series and its generalizations, J. Inequal. Pure Appl. Math. 5 (2) (2004), Article 45, pp. 1-13 (electronic); Z. Tomovski, Integral representations of generalized Mathieu series via Mittag-Leffler type functions, Fract. Calc. Appl. Anal. 10 (2007), pp. 127-138.) via the Bessel function Jν of the first kind, the Gauss hypergeometric function 2F1, the generalized hypergeometric function pFq and the Fox-Wright generalization pΨq of the hypergeometric function pFq, a number of integral representations of the Laplace, Fourier, and Mellin types are derived here for certain general families of Mathieu type series. Some interesting corollaries and consequences of these integral representations are also considered. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 2 of 5 found articles
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