On a generating function for the isotropic basis functions and other connected results
DOI10.1088/1751-8121/ad955cMaRDI QIDQ6653871
Zachary Slepian, A. Greco, Jiamin Hou, Jessica Chellino
Publication date: 17 December 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
generating functionsspherical harmonicscosmologyrotation invarianceplane-wave expansionspherical Bessel functions
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Galactic and stellar dynamics (85A05) Applications of hypergeometric functions (33C90)
Cites Work
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- The plane wave expansion, infinite integrals and identities involving spherical Bessel functions
- Analytical evaluation of an infinite integral over four spherical Bessel functions
- A simple derivation of the addition theorems of the irregular solid harmonics, the Helmholtz harmonics, and the modified Helmholtz harmonics
- Spherical delta functions and multipole expansions
- Analytic expressions for integrals of products of spherical Bessel functions
- Integrals of Products of Bessel Functions
- Three-Dimensional Addition Theorem for Arbitrary Functions Involving Expansions in Spherical Harmonics
- Isotropic N-point basis functions and their properties
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