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Year 2018, Volume: 8, 10 - 15, 30.06.2018

Mohammad Masjed-jamei , Fatemeh Soleyman

Abstract

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.

A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series

Year 2018, Volume: 8, 10 - 15, 30.06.2018

Mohammad Masjed-jamei , Fatemeh Soleyman

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

‎Bivariate hypergeometric-trigonometric series‎ ‎Fourier trigonometric series‎ ‎hypergeometric series‎

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.
There are 6 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Mohammad Masjed-jamei

Fatemeh Soleyman

Publication Date June 30, 2018
Published in Issue Year 2018 Volume: 8

Cite

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.
AMA Masjed-jamei M, Soleyman F. A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. TJMCS. June 2018;8:10-15.
Chicago Masjed-jamei, Mohammad, and Fatemeh Soleyman. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science 8, June (June 2018): 10-15.
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 M. Masjed-jamei and F. Soleyman, “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”, TJMCS, vol. 8, pp. 10–15, 2018.
ISNAD Masjed-jamei, Mohammad - Soleyman, Fatemeh. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science 8 (June 2018), 10-15.
JAMA 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, 2018, pp. 10-15.
Vancouver Masjed-jamei M, Soleyman F. A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. TJMCS. 2018;8:10-5.