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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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Gamma and Beta Function Integrals
2014In two letters written as 1729 turned into 1730, the great Euler created what is today called the gamma function, Γ(n), defined today in textbooks by the integral $$ \Gamma \left(\mathrm{n}\right)={\displaystyle {\int}_0^{\infty }{\mathrm{e}}^{-\mathrm{x}\ }{\mathrm{x}}^{\mathrm{n}-1}\ \mathrm{dx},}\kern1em \mathrm{n}>0. $$
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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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Biochimica et biophysica acta, 1993
Heterotrimeric GTP binding regulatory proteins (G proteins) are involved in the signal transduction process in cells. We have previously demonstrated that G protein (Gi/o) in bovine brain contains two subspecies of the beta gamma-subunit, beta gamma-I and beta gamma-II, with distinct gamma subunits, i.e., gamma-I and gamma-II, but identical beta ...
H, Sohma +4 more
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Heterotrimeric GTP binding regulatory proteins (G proteins) are involved in the signal transduction process in cells. We have previously demonstrated that G protein (Gi/o) in bovine brain contains two subspecies of the beta gamma-subunit, beta gamma-I and beta gamma-II, with distinct gamma subunits, i.e., gamma-I and gamma-II, but identical beta ...
H, Sohma +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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