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Note on the Beta and Gamma Functions
The American Mathematical Monthly, 1969In N. Bourbaki, IDlements de Mathematique, Fonctions d'une variable reelle, Ch. 1, 2, 3, 2me Md., 1958, p. 127, one finds a simple and interesting method of evaluating the Euler-Poisson integral f ex2dx without the use of double integrals or an inversion of limit operations.
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Analytic Subtraction Applied to the Incomplete Gamma and Beta Functions
SIAM Journal on Scientific and Statistical Computing, 1980The purpose of this paper is to draw attention to a method of performing analytic subtractions that can dramatically improve the numerical stability of a continued fraction (cf) or series expansion. The method is applied to the computation of the incomplete gamma and beta functions.
Tretter, Marietta J., Walster, G. W.
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Relationship between Beta and Gamma functions
Abstract. The article deals with a more in-depth study of one of the most interesting topics of mathematical analysis "Integrals beta and gamma". Key words: Gamma function, Beta function, properties, interrelation, application.openaire +1 more source
Ramanujan's Extensions of the Gamma and Beta Functions
The American Mathematical Monthly, 1980(1980). Ramanujan's Extensions of the Gamma and Beta Functions. The American Mathematical Monthly: Vol. 87, No. 5, pp. 346-359.
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Further Generalizations Of Gamma, Beta And Related Functions
2020Kiymaz, I. Onur/0000-0003-2375-0202; Kiymaz, I.
Sahin, Recep +4 more
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Relation Between the Beta and the Gamma Functions
Mathematics Magazine, 1968(1968). Relation Between the Beta and the Gamma Functions. Mathematics Magazine: Vol. 41, No. 1, pp. 37-39.
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Risk assessment of microplastic particles
Nature Reviews Materials, 2022Albert A Koelmans +2 more
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