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Partial fraction decompositions and trigonometric sum identities
Author(s):
Wenchang
Chu
Journal:
Proc. Amer. Math. Soc.
136
(2008),
229-237.
MSC (2000):
Primary 42A15;
Secondary 65T40
Posted:
October 18, 2007
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Abstract:
The partial fraction decomposition method is explored to establish several interesting trigonometric function identities, which may have applications to the evaluation of classical multiple hypergeometric series, trigonometric approximation and interpolation.
References:
-
- 1.
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- 2.
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- 3.
- W. Chu, Summations on trigonometric functions Applied Mathematics and Computation 141 (2003), 161-176. MR 1986078 (2004h:33003)
- 4.
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- 5.
- W. Chu, X. X. Wang, D. Y. Zheng, Application of the residue theorem to bilateral hypergeometric series Preprint, 2006.
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- M. A. Dougall, On Vandermonde's theorem and some more general expansion Proc. Edinburgh. Math. Soc.25 (1907), 114-132.
- 7.
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SIAM J. Math. Anal.18 (1987), 1576-1596. MR 911651 (90e:33015) - 9.
- R. A. Gustafson, Some q-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras Trans. Amer. Math. Soc.341 (1994), 69-119. MR 1139492 (94c:33032)
- 10.
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- 11.
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Additional Information:
Wenchang
Chu
Affiliation:
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China
Address at time of publication:
Dipartimento di Matematica, Universit\a`{a} degli Studi di Lecce, Lecce-Arne- sano, P. O. Box 193, 73100 Lecce, Italia
Email:
chu.wenchang@unile.it
DOI:
10.1090/S0002-9939-07-09085-5
PII:
S 0002-9939(07)09085-5
Keywords:
Trigonometric interpolation,
trigonometric formulae,
partial fraction decomposition.
Received by editor(s):
October 25, 2006
Posted:
October 18, 2007
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2007,
American Mathematical Society
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