Integral representation for Neumann series of Bessel functions
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Publication:3631841
DOI10.1090/S0002-9939-09-09796-2zbMath1171.33003OpenAlexW1980068802MaRDI QIDQ3631841
Publication date: 22 June 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09796-2
Bessel function of the first kindNeumann series of Bessel functionsintegral representation of series
Convergence and divergence of series and sequences (40A05) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
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Cites Work
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- An exact expression for transient forced internal gravity waves in a Boussinesq fluid
- Generalized series of Bessel functions
- An isotropic elastic medium containing a cylindrical borehole with a rigid plug.
- Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series
- Inversion time of large spins
- On the Representation of Indefinite Integrals Containing Bessel Functions by Simple Neumann Series
- Electromagnetic fields in the presence of an infinite dielectric wedge
- On Whittaker and Coulomb Functions
- Asymptotic Expressions for the Unit-Step and Dirac Delta Functions
- Integraldarstellungen Aus Der Theorie Der Besselschen Funktionen
- Neumann Series of Bessel Functions
- Mathematical Analysis of Random Noise
- Waves in wood: Free vibrations of a wooden pole