This table contains values of \\(F(x;\\alpha ) = \\int_0^x {{1 \\over {\\Gamma (\\alpha )}}{y^{\\alpha -1}}{e^{ -y}}dy.} \\)doi:10.1007/978-1-4613-9629-1_11Stephen KokoskaChristopher NevisonSpringer New York
K. PEARSON: Tables of the Incomplete Gamma Function. Cambridge University Press.Pearson Karl, Tables of the incomplete gamma function, (Cambridge University Press,U.K), 1946, pp.164.Pearson, Karl, Tables of the Incomplete Gamma Function, Revised Edition, Cambridge University Press, England, 1957...
Asymptotic and exact series representations for the incomplete gamma function. Europhysics Letters 71 (1), 1-7.Amore, P. 2005 Asymptotic and exact series representations for the incomplete Gamma function. Europhys. Lett. 71, 1-7. (doi:10.1209/epl/i2005-10066-6)...
incomplete gamma functionzerosasymptoticsAsymptotic formulae that estimate the locations of real zeros of the lower incomplete gamma function are obtained using methods based in part on the original derivations by Tricomi. It is shown that these original calculations are correct, aside from some minor...
Moreover, let [GAMMA](s), as usual, denote the gammafunction, and let [GAMMA](s, z) be the incomplete gamma-function, A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves where [GAMMA](x) is the Gamma-function. In particular, if q(u) = 1 (u [greater than...
Related to gamma function:Incomplete gamma function n (Mathematics)mathsa function defined by Γ(x) = ∫0∞tx–1e–tdt, wherexis real and greater than zero Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 200...
Letting P(u,x) denote the regularised incomplete gamma function, it is shown that for each α≥ 0, P(x,x+α) decreases as x increases on the positive real semi-axis, and P(x,x+α) converges to 1/2 as x tends to infinity. The statistical significance of these results is explored...
First, we find the best possible approximation to the incomplete gamma function. This approximation should be thrice differentiable with respect to λ. Needless to say, it should be independent of the failure time data under consideration. The idea is to use the λ-derivative of this approximation...
Monotonicity of the incomplete gamma function with applications J. Inequal. Appl., 2016 (2016), Article 251 Google Scholar [57] Z.-H. Yang, W. Zhang, Yu.-M. Chu Sharp Gautschi inequality for parameter 0<p<1 with applications Math. Inequal. Appl., 20 (4) (2017), pp. 1107-1120 Cro...
where 𝐵(𝜉,𝜃)B(ξ,θ) is the beta function and 𝐵(𝑥|𝜉,𝜃)B(x|ξ,θ) is the incomplete gamma function. 4.2.2. E&W Data Performance Analysis E&W Quantitative Analysis Table 4 summarises the quantitative results that reflect the efficacy of the HS model and its extension...