Convergent expansions of the incomplete gamma functions in terms of elementary functions
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Date
2017
Director
Publisher
World Scientific Publishing
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
Project identifier
- MINECO//MTM2014-53178-P/ES/
- MINECO//TEC2013-45585-C2-1-R/ES/
Impacto
No disponible en Scopus
Abstract
We consider the incomplete gamma function γ(a,z) for Ra>0 and z∈C. We derive several convergent expansions of z−aγ(a,z) in terms of exponentials and rational functions of z that hold uniformly in z with Rz bounded from below. These expansions, multiplied by ez, are expansions of ezz−aγ(a,z) uniformly convergent in z with Rz bounded from above. The expansions are accompanied by realistic error bounds.
Description
Keywords
Incomplete gamma functions, Convergent expansions, Uniform expansions
Department
Matematika eta Informatika Ingeniaritza / Institute for Advanced Materials and Mathematics - INAMAT2 / Ingeniería Matemática e Informática
Faculty/School
Degree
Doctorate program
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