Result: A new asymptotic series for the Gamma function
Title:
A new asymptotic series for the Gamma function
Authors:
Source:
International symposium on computing and information (ISCI2004), Zhuhai, 15-18 August 2004Journal of computational and applied mathematics. 195(1-2):134-154
Publisher Information:
Amsterdam: Elsevier, 2006.
Publication Year:
2006
Physical Description:
print, 9 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Analyse mathématique, Mathematical analysis, Fonctions spéciales, Special functions, Fonction gamma, Gamma function, Función gama, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Formule Stirling, Série asymptotique, Asymptotic series, Série convergente, 33B15;05A16, Stirling formula
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Applied Mathematics Research Center, Delaware State University, Dover, DE 19901, United States
Natural Language Pmcessing Lab, Computer Science Department, Northeastern University, China
Natural Language Pmcessing Lab, Computer Science Department, Northeastern University, China
ISSN:
0377-0427
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.17973376
Database:
PASCAL Archive
Further Information
The famous Stirling's formula says that Γ(s +1) = √2πs(s/e)seγ(s) = √2π(s/e)seθ(s)/12s. In this paper, we obtain a novel convergent asymptotic series of y(s) and proved that θ(s) is increasing for s > 0.