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The Generalized Incomplete Gamma Function as sum over Modified Bessel Functions of the First Kind

✍ Scribed by E.J.M. Veling

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
251 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

We represent the Generalized Incomplete Gamma Function

as a sum of Modified Bessel Functions valid for non-integer Ξ±. For integer values of Ξ± we derive the corresponding limit case. Moreover, we discuss numerical techniques to evaluate this function.

πŸ“œ SIMILAR VOLUMES

Asymptotics of the modified bessel and t
Asymptotics of the modified bessel and the incomplete gamma matrix functions
✍ J. Sastre; L. JΓ³dar πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 352 KB

thii paper, an asymptotic expression of the incomplete gamma matrix function and integral expressions of Bessel matrix functions are given. Results are applied to study the asymptotic behavior of the modified Bessel function.