Evaluation of incomplete gamma functions using downward recursion and analytical relations

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Guseinov I., Mamedov B.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.36, no.4, pp.341-346, 2004 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 36 Issue: 4
• Publication Date: 2004
• Doi Number: 10.1023/b:jomc.0000044521.18885.d3
• Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.341-346
• Çanakkale Onsekiz Mart University Affiliated: No

Abstract

New downward recursion and analytical approaches are presented for the calculation of incomplete gamma functions gamma (alpha, x) and Gamma(alpha, 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 alpha and x of gamma(alpha, x).