On the summation of Bessel functions and Hankel transforms

DOI10.1016/0022-247X(91)90307-LzbMath0751.33006MaRDI QIDQ1192527

Dieter Klusch

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceHankel transformsfunctional relationssummation formulaarithmetic functionsBessel- Schlömilch type seriesDoetsch-Kober summation formulaHankel-Erdelyi type seriesJacobi's elliptic theta functionRamanujan's exponential sums

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other functions defined by series and integrals (33E20) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (1)

The sampling theorem, Dirichlet series and Hankel transforms

Cites Work

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• Closed expressions for some infinite series of Bessel and Struve functions
• A new method for the evaluation of slowly convergent series
• COMPLEX FOURIER--BESSEL TRANSFORMS

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