On Some Families of New Constructed Polynomials


ÇİFTCİ H. , Erkus-Duman E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.43, ss.1111-1125, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40840-019-00725-9
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Sayfa Sayıları: ss.1111-1125

Özet

The purpose of this paper is to introduce some new polynomials obtained from second- and third-order algebraic equations by using a simple iterative method. One-variable polynomials obtained in this study deal with special form of Poschl-Teller potential with constant energy, and the two-variable polynomials are related to time-dependent wave equations. We present some recurrence relations, Binet formula and get various families of linear, multilinear and multilateral generating functions for these polynomials. In addition, we derive some special cases. At the end of the paper we also give an extension to the multidimensional case of our results.