A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series

ISSN: 2148-1830
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: MATEMATİKÇİLER DERNEĞİ

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.

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[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.