Polynomial series expansions for confluent and Gaussian hypergeometric functions
Authors:
W. Luh, J. Müller, S. Ponnusamy and P. Vasundhra
Journal:
Math. Comp. 74 (2005), 19371952
MSC (2000):
Primary 33C05, 33C15, 33F05, 65D20
Published electronically:
March 15, 2005
MathSciNet review:
2164104
Fulltext PDF Free Access
Abstract 
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Abstract: Based on the Hadamard product of power series, polynomial series expansions for confluent hypergeometric functions and for Gaussian hypergeometric functions are introduced and studied. It turns out that the partial sums provide an interesting alternative for the numerical evaluation of the functions and , in particular, if the parameters are also viewed as variables.
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Additional Information
W. Luh
Affiliation:
University of Trier, FB IV, Mathematics, D54286 Trier, Germany
Email:
luh@unitrier.de
J. Müller
Affiliation:
University of Trier, FB IV, Mathematics, D54286 Trier, Germany
Email:
jmueller@unitrier.de
S. Ponnusamy
Affiliation:
Department of Mathematics, Indian Institute of Technology, IITMadras, Chennai 600 036, India
Email:
samy@iitm.ac.in
P. Vasundhra
Affiliation:
Department of Mathematics, Indian Institute of Technology, IITMadras, Chennai 600 036, India
Email:
vasu2kk@yahoo.com
DOI:
http://dx.doi.org/10.1090/S0025571805017345
PII:
S 00255718(05)017345
Keywords:
Hypergeometric series,
Hadamard product,
polynomial expansions
Received by editor(s):
December 3, 2003
Received by editor(s) in revised form:
May 18, 2004
Published electronically:
March 15, 2005
Additional Notes:
The work of the authors was supported by DSTDAAD under Project Based Personal Exchange Programme (Sanction No. INT/DAAD/P64/2002).
Article copyright:
© Copyright 2005
American Mathematical Society
