Evaluation of incomplete gamma functions using downward recursion and analytical relations

DOI10.1023/B:JOMC.0000044521.18885.D3zbMath1059.81187OpenAlexW2058095426MaRDI QIDQ703976

I. I. Guseinov, Bahtiyar A. Mamedov

Publication date: 12 January 2005

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jomc.0000044521.18885.d3

zbMATH Keywords

overlap integralsnoninteger principal quantum numbersmolecular auxiliary functionsdownward recursion relationsIncomplete gamma functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computational methods for problems pertaining to quantum theory (81-08) Atomic physics (81V45) Molecular physics (81V55)

Related Items (7)

Evaluation of the Boys function using analytical relations ⋮ Unified treatment for the evaluation of generalized complete and incomplete gamma functions ⋮ Analytical evaluation of the thermionic emission probability for semiconductor-insulator interfaces using incomplete gamma functions ⋮ Use of analytical relations in evaluation of exponential integral functions ⋮ Fast evaluation of molecular auxiliary functions \(A_{\alpha }\) and \(B_{n}\) by analytical relations ⋮ Use of recursion and analytical relations in evaluation of hypergeometric functions arising in multicenter integrals with noninteger \(n\) Slater type orbitals ⋮ Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems

Uses Software

• Algorithm 683

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