EN
A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series
Abstract
A general identity is presented for bivariate hypergeometric-trigonometric series, which can be considered as a decomposition formula for the aforementioned series. Some special examples are also given in this sense.
Keywords
References
- Andrews, G.E., Askey, R., Roy, R., Special Functions, Cambridge: Cambridge University Press, 2000.
- Askey, R., Haimo, D.T., Similarities between Fourier and power series, Amer. Math. Monthly, 103(1996), 297–304.
- Gottlieb, D., Shu, C.W., On the Gibbs phenomenon and its resolution, SIAM REV., 39(1997), 644–668.
- Gradshteyn, I.S., Ryzhik, I.M., Table of Integrals, Series, and Products, Seventh Edition, Academic Press, Elsevier Inc, 2007.
- Masjed-Jamei, M., Koepf, W., Symbolic computation of some power-trigonometric series, Journal of Symbolic Computation, 80(2017), 273– 284.
- Takemura, K., Heun’s equation, generalized hypergeometric function and exceptional Jacobi polynomial, J. Phys. A: Math. Theor., 45(2012), 085211.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
June 30, 2018
Submission Date
May 8, 2017
Acceptance Date
October 2, 2017
Published in Issue
Year 2018 Volume: 8
APA
Masjed-jamei, M., & Soleyman, F. (2018). A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. Turkish Journal of Mathematics and Computer Science, 8, 10-15. https://izlik.org/JA85KT73DT
AMA
1.Masjed-jamei M, Soleyman F. A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. TJMCS. 2018;8:10-15. https://izlik.org/JA85KT73DT
Chicago
Masjed-jamei, Mohammad, and Fatemeh Soleyman. 2018. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science 8 (June): 10-15. https://izlik.org/JA85KT73DT.
EndNote
Masjed-jamei M, Soleyman F (June 1, 2018) A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. Turkish Journal of Mathematics and Computer Science 8 10–15.
IEEE
[1]M. Masjed-jamei and F. Soleyman, “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”, TJMCS, vol. 8, pp. 10–15, June 2018, [Online]. Available: https://izlik.org/JA85KT73DT
ISNAD
Masjed-jamei, Mohammad - Soleyman, Fatemeh. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science 8 (June 1, 2018): 10-15. https://izlik.org/JA85KT73DT.
JAMA
1.Masjed-jamei M, Soleyman F. A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. TJMCS. 2018;8:10–15.
MLA
Masjed-jamei, Mohammad, and Fatemeh Soleyman. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science, vol. 8, June 2018, pp. 10-15, https://izlik.org/JA85KT73DT.
Vancouver
1.Mohammad Masjed-jamei, Fatemeh Soleyman. A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. TJMCS [Internet]. 2018 Jun. 1;8:10-5. Available from: https://izlik.org/JA85KT73DT