2013
Remarks on Slater's asymptotic expansions of Kummer functions for large values of the $a-$parameter
Publication
Publication
Advances in Dynamical Systems and Applications , Volume 8 - Issue 2 p. 365- 377
Presented at the
International Conference on Differential Equations, Difference Equations and Special Functions (September 2012), Patras
In Slater's 1960 standard work on confluent hypergeometric functions, also called Kummer functions, a number of asymptotic expansions of these functions can be found. We summarize expansions derived from a differential equation for large values of the $a-$parameter. We show how similar expansions can be derived by using integral representations, and we observe discrepancies with Slater's expansions.
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| Advances in Dynamical Systems and Applications , Proceedings of the International Conference on Differential Equations, Difference Equations and Special Functions, Patras, September 3–9, 2012 | |
| International Conference on Differential Equations, Difference Equations and Special Functions | |
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Temme, N. (2013). Remarks on Slater's asymptotic expansions of Kummer functions for large values of the $a-$parameter. Proceedings of the International Conference on Differential Equations, Difference Equations and Special Functions, Patras, September 3–9, 2012, 8(2), 365–377. |
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