Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2018, Cilt: 8, 10 - 15, 30.06.2018

Mohammad Masjed-jamei , Fatemeh Soleyman

Öz

Kaynakça

  • 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

Yıl 2018, Cilt: 8, 10 - 15, 30.06.2018

Mohammad Masjed-jamei , Fatemeh Soleyman

Öz

‎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. 

Anahtar Kelimeler

‎Bivariate hypergeometric-trigonometric series‎ ‎Fourier trigonometric series‎ ‎hypergeometric series‎

Kaynakça

  • 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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

Mohammad Masjed-jamei

Fatemeh Soleyman

Yayımlanma Tarihi 30 Haziran 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 8

Kaynak Göster

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. Haziran 2018;8:10-15.
Chicago Masjed-jamei, Mohammad, ve Fatemeh Soleyman. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science 8, Haziran (Haziran 2018): 10-15.
EndNote Masjed-jamei M, Soleyman F (01 Haziran 2018) A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. Turkish Journal of Mathematics and Computer Science 8 10–15.
IEEE M. Masjed-jamei ve F. Soleyman, “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”, TJMCS, c. 8, ss. 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 (Haziran 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 ve Fatemeh Soleyman. “A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series”. Turkish Journal of Mathematics and Computer Science, c. 8, 2018, ss. 10-15.
Vancouver Masjed-jamei M, Soleyman F. A Decomposition Formula for Bivariate Hypergeometric-Trigonometric Series. TJMCS. 2018;8:10-5.