Araştırma Makalesi

Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices

Cilt: 3 Sayı: 4 30 Aralık 2019
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Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices

Öz

The central idea of this article is to present a systematic approach to construct some recurrence relations for the solutions of the second-order linear difference equation of hypergeometric-type defined on the quadratictype lattices. We introduce some recurrence relations for such solutions by also considering their applications to polynomials on the quadratic-type lattices.

Anahtar Kelimeler

Kaynakça

  1. R. Alvarez-Nodarse, Polinomios hipergeometricos y q-polinomios, Monografias del Seminario Garcia Galdeano. Universidad de Zaragoza. Vol. 26. Prensas Universitarias de Zaragoza, Zaragoza, Spain, 2003. (In Spanish).
  2. R. Alvarez-Nodarse, On characterizations of classical polynomials, J. Comput. Appl. Math. 196 (2006), pp. 320-337.
  3. R. Alvarez-Nodarse, N. M. Atakishiyev and R. S. Costas-Santos, Factorization of hypergeometric type difference equations on nonuniform lattices: dynamical algebra, J. Phys. A: Math. Gen. 38 (2005), pp. 153-174.
  4. R. Alvarez-Nodarse, A La Carte recurrence relations for continuous and discrete hypergeometric functions, Sema Journal 55 (2011), pp. 41-57.
  5. R. Alvarez-Nodarse, J. L. Cardoso, Recurrence relations for discrete hypergeometric functions, J. Difference Eq. Appl. 11 (2005), pp. 829-850.
  6. R. Alvarez-Nodarse, J. L. Cardoso, On the Properties of Special Functions on the linear-type lattices, J. Math. Anal. Appl. 405 (2013), pp. 271-285.
  7. R. Alvarez-Nodarse, J. L. Cardoso and N. R. Quintero, On recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogen-like atoms: analytical and numerical study, Elect. Trans. Num. Anal. 24 (2006), pp. 7-23.
  8. R. Alvarez-Nodarse, J. C. Medem, q-Classical polynomials and the q-Askey and Nikiforov-Uvarov Tableaus, J. Comput. Appl. Math. 135 (2001), pp. 157-196.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2019

Gönderilme Tarihi

5 Ekim 2019

Kabul Tarihi

19 Ekim 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 3 Sayı: 4

Kaynak Göster

APA
Sevinik Adıgüzel, R. (2019). Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. Advances in the Theory of Nonlinear Analysis and its Application, 3(4), 201-219. https://doi.org/10.31197/atnaa.629707
AMA
1.Sevinik Adıgüzel R. Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. ATNAA. 2019;3(4):201-219. doi:10.31197/atnaa.629707
Chicago
Sevinik Adıgüzel, Rezan. 2019. “Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices”. Advances in the Theory of Nonlinear Analysis and its Application 3 (4): 201-19. https://doi.org/10.31197/atnaa.629707.
EndNote
Sevinik Adıgüzel R (01 Aralık 2019) Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. Advances in the Theory of Nonlinear Analysis and its Application 3 4 201–219.
IEEE
[1]R. Sevinik Adıgüzel, “Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices”, ATNAA, c. 3, sy 4, ss. 201–219, Ara. 2019, doi: 10.31197/atnaa.629707.
ISNAD
Sevinik Adıgüzel, Rezan. “Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices”. Advances in the Theory of Nonlinear Analysis and its Application 3/4 (01 Aralık 2019): 201-219. https://doi.org/10.31197/atnaa.629707.
JAMA
1.Sevinik Adıgüzel R. Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. ATNAA. 2019;3:201–219.
MLA
Sevinik Adıgüzel, Rezan. “Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices”. Advances in the Theory of Nonlinear Analysis and its Application, c. 3, sy 4, Aralık 2019, ss. 201-19, doi:10.31197/atnaa.629707.
Vancouver
1.Rezan Sevinik Adıgüzel. Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. ATNAA. 01 Aralık 2019;3(4):201-19. doi:10.31197/atnaa.629707