The inversion, formulae for some bessel and hypergeometric transforms

S. E. González de Galindo; S. L. Kalla

Published

1976-04-01

The inversion, formulae for some bessel and hypergeometric transforms

Keywords:

Laplace transform, Bessel function transforms, confluent hypergeometric function (es)

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Authors

S. E. González de Galindo Universidad Nacional de Tucumán
S. L. Kalla Universidad Nacional de Tucumán

Abstract (en)

By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are the confluent hypergeometric function ₁F₁(γ - a; γ; μx) and Gauss hypergeometric function ₂F₁( a, β, γ; - 1/ μ x). The results given earlier by Gómez López [8] follow as special cases of our results given in section. 3.

How to Cite

APA

González de Galindo, S. E. and Kalla, S. L. (1976). The inversion, formulae for some bessel and hypergeometric transforms. Revista Colombiana de Matemáticas, 10(2), 83–92. https://revistas.unal.edu.co/index.php/recolma/article/view/32117

ACM

[1]

González de Galindo, S.E. and Kalla, S.L. 1976. The inversion, formulae for some bessel and hypergeometric transforms. Revista Colombiana de Matemáticas. 10, 2 (Apr. 1976), 83–92.

ACS

(1)

González de Galindo, S. E.; Kalla, S. L. The inversion, formulae for some bessel and hypergeometric transforms. rev.colomb.mat 1976, 10, 83-92.

ABNT

GONZÁLEZ DE GALINDO, S. E.; KALLA, S. L. The inversion, formulae for some bessel and hypergeometric transforms. Revista Colombiana de Matemáticas, [S. l.], v. 10, n. 2, p. 83–92, 1976. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32117. Acesso em: 22 jan. 2025.

Chicago

González de Galindo, S. E., and S. L. Kalla. 1976. “The inversion, formulae for some bessel and hypergeometric transforms”. Revista Colombiana De Matemáticas 10 (2):83-92. https://revistas.unal.edu.co/index.php/recolma/article/view/32117.

Harvard

González de Galindo, S. E. and Kalla, S. L. (1976) “The inversion, formulae for some bessel and hypergeometric transforms”, Revista Colombiana de Matemáticas, 10(2), pp. 83–92. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32117 (Accessed: 22 January 2025).

IEEE

[1]

S. E. González de Galindo and S. L. Kalla, “The inversion, formulae for some bessel and hypergeometric transforms”, rev.colomb.mat, vol. 10, no. 2, pp. 83–92, Apr. 1976.

MLA

González de Galindo, S. E., and S. L. Kalla. “The inversion, formulae for some bessel and hypergeometric transforms”. Revista Colombiana de Matemáticas, vol. 10, no. 2, Apr. 1976, pp. 83-92, https://revistas.unal.edu.co/index.php/recolma/article/view/32117.

Turabian

González de Galindo, S. E., and S. L. Kalla. “The inversion, formulae for some bessel and hypergeometric transforms”. Revista Colombiana de Matemáticas 10, no. 2 (April 1, 1976): 83–92. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/32117.

Vancouver

1.

González de Galindo SE, Kalla SL. The inversion, formulae for some bessel and hypergeometric transforms. rev.colomb.mat [Internet]. 1976 Apr. 1 [cited 2025 Jan. 22];10(2):83-92. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/32117