On Finite Classes of Two-Variable Orthogonal Polynomials

Guldogan E., AKTAŞ R., Masjed-Jamei M.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.46, sa.4, ss.1163-1194, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s41980-019-00319-y
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1163-1194
  • Anahtar Kelimeler: Orthogonal polynomial, Weight function, Differential equation, Recurrence relation, Generating function
  • Ankara Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to introduce several finite sets of orthogonal polynomials in two variables, and investigate some general properties of them such as recurrence relations, generating functions, differential equations, and Rodrigues type representations.