Evaluation of incomplete gamma functions using downward recursion and analytical relations

New downward recursion and analytical approaches are presented for the calculation of incomplete gamma functions γ(α,x) and Γ(α,x). The efficiency of calculation with an adequate interval of these expressions is compared with those of other methods and great numerical stability and good rate of conv...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical chemistry 2004-08, Vol.36 (4), p.341-346
Main Authors: GUSEINOV, I. I, MAMEDOV, B. A
Format: Article
Language:English
Subjects:
Chemistry
Exact sciences and technology
Gamma function
General and physical chemistry
Mathematical analysis
Mathematics
Numerical stability
Sciences and techniques of general use
Special functions
Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:New downward recursion and analytical approaches are presented for the calculation of incomplete gamma functions γ(α,x) and Γ(α,x). The efficiency of calculation with an adequate interval of these expressions is compared with those of other methods and great numerical stability and good rate of convergence is obtained for wide range of integral parameters. It is shown that the downward recursive relations are stable for all values of α and x of γ(α,x).
ISSN:0259-9791
1572-8897
DOI:10.1023/b:jomc.0000044521.18885.d3