A note on a family of two-variable polynomials

AKTAŞ R., Altin A., TAŞDELEN YEŞİLDAL F.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.235, sa.16, ss.4825-4833, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 235 Sayı: 16
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.cam.2010.11.005
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4825-4833
  • Anahtar Kelimeler: Jacobi polynomials, Generalized Gegenbauer polynomials, Lagrange polynomials, Recurrence relation, Integral representation, INFORMATION ENTROPIES
  • Ankara Üniversitesi Adresli: Evet

Özet

The main object of this paper is to construct a two-variable analogue of Jacobi polynomials and to give some properties of these polynomials. We show that these polynomials are orthogonal, then we obtain various recurrence formulas for them. Furthermore, we give some integral representations for these polynomials. (C) 2010 Elsevier B.V. All rights reserved.