Title of article
Computational properties of three-term recurrence relations for Kummer functions
Author/Authors
Deaٌo، نويسنده , , Alfredo and Segura، نويسنده , , Javier and Temme، نويسنده , , Nico M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
6
From page
1505
To page
1510
Abstract
Several three-term recurrence relations for confluent hypergeometric functions are analyzed from a numerical point of view. Minimal and dominant solutions for complex values of the variable z are given, derived from asymptotic estimates of the Whittaker functions with large parameters. The Laguerre polynomials and the regular Coulomb wave functions are studied as particular cases, with numerical examples of their computation.
Keywords
Numerical evaluation of special functions , Stability of recurrence relations , Asymptotic analysis , Kummer functions , Confluent hypergeometric functions
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2010
Journal title
Journal of Computational and Applied Mathematics
Record number
1555446
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