Extended random flights, Fourier-Bessel series, and a completeness-like relation for spherical Bessel functions (2013)
- Authors:
- Autor USP: ABRAMO, LUIS RAUL WEBER - IF
- Unidade: IF
- Subjects: COSMOLOGIA; FUNÇÕES DE BESSEL
- Language: Inglês
- Abstract: We prove a completeness-like relation for a non-orthogonal set of spherical Bessel functions which is not known to be complete – namely, the set {jm(α l i z)}, with 0 ≤ z ≤ 1, l ≥ m, where α l i is the i-th zero of the spherical Bessel function of order l. This completeness-like relation arises in the study of Fourier-Bessel series expansions of the probability density functions for random flights.
- Imprenta:
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ABNT
REIMBERG, Paulo Henrique Flose e ABRAMO, Luis Raul Weber. Extended random flights, Fourier-Bessel series, and a completeness-like relation for spherical Bessel functions. . São Paulo: Instituto de Física, Universidade de São Paulo. Disponível em: http://lanl.arxiv.org/pdf/1310.1128v1.pdf. Acesso em: 17 fev. 2026. , 2013 -
APA
Reimberg, P. H. F., & Abramo, L. R. W. (2013). Extended random flights, Fourier-Bessel series, and a completeness-like relation for spherical Bessel functions. São Paulo: Instituto de Física, Universidade de São Paulo. Recuperado de http://lanl.arxiv.org/pdf/1310.1128v1.pdf -
NLM
Reimberg PHF, Abramo LRW. Extended random flights, Fourier-Bessel series, and a completeness-like relation for spherical Bessel functions [Internet]. 2013 ;[citado 2026 fev. 17 ] Available from: http://lanl.arxiv.org/pdf/1310.1128v1.pdf -
Vancouver
Reimberg PHF, Abramo LRW. Extended random flights, Fourier-Bessel series, and a completeness-like relation for spherical Bessel functions [Internet]. 2013 ;[citado 2026 fev. 17 ] Available from: http://lanl.arxiv.org/pdf/1310.1128v1.pdf - The Southern Photometric Local Universe Survey (S-PLUS): improved SEDs, morphologies and redshifts with 12 optical lters
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