Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 8 - Sayı: 8

A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series

Pages
10–15
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some special examples are also given in thissense.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A general identity is presented for bivariate hypergeometric-trigonometric series, which can be considered as a decomposition formula for the aforementioned series.
📊
Key Findings & Data:A general identity is presented for bivariate hypergeometric-trigonometric series, which can be considered as a decomposition formula for the aforementioned series.
💡
Conclusion & Impact:Some special examples are also given in thissense.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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 thissense.

🔖

Cite This Article

Jamei, M. M., Soleyman, F. (2022). A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. Turkish Journal of Mathematics and Computer Science, Cilt: 8 - Sayı: 8, 10–15. https://ajindex.com/articles/609199

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (6)

  1. Andrews, G.E., Askey, R., Roy, R., Special Functions, Cambridge: Cambridge University Press, 2000
  2. Askey, R., Haimo, D.T., Similarities between Fourier and power series, Amer. Math. Monthly, 103(1996), 297–304
  3. Gottlieb, D., Shu, C.W., On the Gibbs phenomenon and its resolution, SIAM REV., 39(1997), 644–668
  4. Gradshteyn, I.S., Ryzhik, I.M., Table of Integrals, Series, and Products, Seventh Edition, Academic Press, Elsevier Inc, 2007
  5. Masjed-Jamei, M., Koepf, W., Symbolic computation of some power-trigonometric series, Journal of Symbolic Computation, 80(2017), 273– 284
  6. Takemura, K., Heun’s equation, generalized hypergeometric function and exceptional Jacobi polynomial, J. Phys. A: Math. Theor., 45(2012), 085211.