EN
Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices
Abstract
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.
Keywords
Kaynakça
- 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).
- R. Alvarez-Nodarse, On characterizations of classical polynomials, J. Comput. Appl. Math. 196 (2006), pp. 320-337.
- 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.
- R. Alvarez-Nodarse, A La Carte recurrence relations for continuous and discrete hypergeometric functions, Sema Journal 55 (2011), pp. 41-57.
- R. Alvarez-Nodarse, J. L. Cardoso, Recurrence relations for discrete hypergeometric functions, J. Difference Eq. Appl. 11 (2005), pp. 829-850.
- 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.
- 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.
- 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
Yazarlar
Yayımlanma Tarihi
30 Aralık 2019
Gönderilme Tarihi
5 Ekim 2019
Kabul Tarihi
19 Ekim 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 3 Sayı: 4