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Polynomial series expansions for confluent and Gaussian hypergeometric functions
Author(s):
W.
Luh;
J.
Müller;
S.
Ponnusamy;
P.
Vasundhra.
Journal:
Math. Comp.
74
(2005),
1937-1952.
MSC (2000):
Primary 33C05, 33C15, 33F05, 65D20
Posted:
March 15, 2005
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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.
References:
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Additional Information:
W.
Luh
Affiliation:
University of Trier, FB IV, Mathematics, D-54286 Trier, Germany
Email:
luh@uni-trier.de
J.
Müller
Affiliation:
University of Trier, FB IV, Mathematics, D-54286 Trier, Germany
Email:
jmueller@uni-trier.de
S.
Ponnusamy
Affiliation:
Department of Mathematics, Indian Institute of Technology, IIT-Madras, Chennai- 600 036, India
Email:
samy@iitm.ac.in
P.
Vasundhra
Affiliation:
Department of Mathematics, Indian Institute of Technology, IIT-Madras, Chennai- 600 036, India
Email:
vasu2kk@yahoo.com
DOI:
10.1090/S0025-5718-05-01734-5
PII:
S 0025-5718(05)01734-5
Keywords:
Hypergeometric series,
Hadamard product,
polynomial expansions
Received by editor(s):
December 3, 2003
Received by editor(s) in revised form:
May 18, 2004
Posted:
March 15, 2005
Additional Notes:
The work of the authors was supported by DST-DAAD under Project Based Personal Exchange Programme (Sanction No. INT/DAAD/P-64/2002).
Copyright of article:
Copyright
2005,
American Mathematical Society
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