Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
β Scribed by Frank E. Harris
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 178 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
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.
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.
Several asymptotic expansions are given for the generalized incomplete gamma Ε½ . x infinity, where the real parameter β£ is allowed to take negative values. In the case b s yi, ) 0, we obtain the expansions of the decomposition functions Ε½ . Ε½ . C β£, x; and S β£, x; . Closed form expressions are also