Generating functions of multivariable generalized Bessel functions and Jacobi-elliptic functions

DOI10.1063/1.529959zbMath0752.33009OpenAlexW2071380318MaRDI QIDQ3991681

M. Richetta, S. Lorenzutta, C. Chiccoli, G. Maino, Amalia Torre, Giuseppe Dattoli

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529959

zbMATH Keywords

generating functionselliptic functionsrecurrence relationszeta functionsJacobi theta functionsJacobi elliptic functionsTheta-functionsEta functionsJacobi Anger expansionsmodified generalized Bessel functionsMultivariable generalized Bessel functions

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05)

Related Items (17)

Generalized Bessel functions: A group theoretic view ⋮ A unified point of view on the theory of generalized Bessel functions ⋮ Representation of Lie algebra \({\mathcal T}_3\) and generalized Bessel functions ⋮ Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions ⋮ Infinite-variable Bessel functions of the Anger type and the Fourier expansion ⋮ Lie-theoretic generating functions of multivariable generalized Bessel functions ⋮ Tides in a body librating about a spin-orbit resonance: generalisation of the Darwin-Kaula theory ⋮ Certain results concerning operators on a Lie algebra and double index sequences ⋮ Theory of two-index Bessel functions and applications to physical problems ⋮ Relativistic elastic scattering of a muon neutrino by an electron in an elliptically polarized laser field ⋮ Recursion relation for Toeplitz determinants and the discrete Painlevé II hierarchy ⋮ Generalized Bessel functions and Lie algebra representation ⋮ Relativistic effects and rigorous limits for discrete- and continuous-time quantum walks ⋮ \(q\)-Tricomi functions and quantum algebra representations ⋮ Analytical and numerical results on \(M\)-variable generalized Bessel functions ⋮ Evaluation of some integrals involving generalized bessel functions ⋮ Lie-theoretic generating relations involving multi-variable Bessel functions of two indices

Cites Work

• Application of theta functions for numerical evaluation of complete elliptic integrals of the first and second kinds
• Absorption of Light by Light

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