Asymptotic Bessel-function expansions for Legendre and Jacobi functions
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DOI: 10.1063/1.5030869
Abstract: We present new asymptotic series for the Legendre and Jacobi functions of the first and second kinds in terms of Bessel functions with appropriate arguments. The results are useful in the context of scattering problems,… read more here.
Keywords: bessel; legendre jacobi; asymptotic bessel; bessel function ... See more keywords
Groups, Jacobi functions, and rigged Hilbert spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5138238
Abstract: This paper is a contribution to the study of the relations between special functions, Lie algebras and rigged Hilbert spaces. The discrete indices and continuous variables of special functions are in correspondence with the representations… read more here.
Keywords: harmonics; special functions; groups jacobi; rigged hilbert ... See more keywords