Properties of Some of Two-Variable Orthogonal Polynomials

Milovanovic G., Ozturk G., AKTAŞ R.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.43, sa.2, ss.1403-1431, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40840-019-00750-8
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1403-1431
  • Anahtar Kelimeler: Jacobi polynomials, Laguerre polynomials, Generating function, Bilinear generating function, Bilateral generating function
  • Ankara Üniversitesi Adresli: Evet

Özet

The present paper deals with various recurrence relations, generating functions and series expansion formulas for two families of orthogonal polynomials in two variables, given Laguerre-Laguerre Koornwinder polynomials and Laguerre-Jacobi Koornwinder polynomials in the limit cases. Several families of bilinear and bilateral generating functions are derived. Furthermore, some special cases of the results presented in this study are indicated.