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On the Power Series Expansion of the Reciprocal Gamma Function

Abstract : Using the reflection formula of the Gamma function, we derive a new formula for the Taylor coefficients of the reciprocal Gamma function. The new formula provides effective asymptotic values for the coefficients even for very small values of the indices. Both the sign oscillations and the leading order of growth are given.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-01029331
Contributor : Lazhar Fekih-Ahmed <>
Submitted on : Tuesday, July 22, 2014 - 12:50:02 PM
Last modification on : Wednesday, October 28, 2020 - 9:52:04 AM
Long-term archiving on: : Tuesday, November 25, 2014 - 11:01:08 AM

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  • HAL Id : hal-01029331, version 1
  • ARXIV : 1407.5983

Citation

Lazhar Fekih-Ahmed. On the Power Series Expansion of the Reciprocal Gamma Function. 2014. ⟨hal-01029331v1⟩

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