Integrals of three Bessel functions and Legendre functions. I

DOI10.1063/1.526600zbMath0586.33004OpenAlexW4229687368MaRDI QIDQ3712597

H. Navelet, A. Gervois

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526600

zbMATH Keywords

Legendre functionsAppell functionIntegrals of products of three Bessel functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55)

Related Items (9)

Integrals of some three Bessel functions and Legendre functions. II ⋮ Some integrals involving three modified Bessel functions. I ⋮ Some integrals involving three modified Bessel functions. II ⋮ Induced gravitational waves as a probe of thermal history of the universe ⋮ The plane wave expansion, infinite integrals and identities involving spherical Bessel functions ⋮ Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks ⋮ High energy physics signatures from inflation and conformal symmetry of de Sitter ⋮ Mellin transform methods applied to integral evaluation: Taylor series and asymptotic approximations ⋮ Infinite integrals involving Bessel functions by contour integration

Cites Work

• Monodromy group of Appell's system (\(F_ 4)\)
• Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities
• Integrals of some three Bessel functions and Legendre functions. II
• A REDUCIBLE CASE OF THE FOURTH TYPE OF APPELL'S HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES
• Some Infinite Integrals Involving Bessel Functions

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