Calculation of the generalized Hubbell rectangular source integrals using binomial coefficients

DOI10.1016/J.AMC.2003.12.028zbMath1061.65016OpenAlexW2054165885MaRDI QIDQ1763241

I. I. Guseinov, Bahtiyar A. Mamedov

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.028

zbMATH Keywords

convergencenumerical stabilityHubbell rectangular source integralBinomial coefficientRadiation field integral Hypergeometric functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Radiative transfer in astronomy and astrophysics (85A25) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

\(H_{J}\) integrals and evaluation of rectangular source integral ⋮ Analytical evaluation of the thermionic emission probability for semiconductor-insulator interfaces using incomplete gamma functions ⋮ Exact analytical expressions and numerical analysis of two-center Franck-Condon factors and matrix elements over displaced harmonic oscillator wave functions ⋮ Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems

Cites Work

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• Tau method approximation of some integrals related to radiation field problems
• Further results on generalized hypergeometric functions
• Development of the Hubbell rectangular source integral
• Gauss-Legendre approximations for the Hubbell rectangular-source integral
• Some further results on the Hubbell rectangular source integral

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