Incomplete q-Chebyshev Polynomials

Ercan E., Cetin M., TUĞLU N.

FILOMAT, cilt.32, sa.10, ss.3599-3607, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 10
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1810599e
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3599-3607
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we get the generating functions of the q-Chebyshev polynomials using eta(z) operator, which is eta(z) f(z)) = f(qz) for any given function f (z). Also considering explicit formulas of the q-Chebyshev polynomials, we give new generalizations of the q-Chebyshev polynomials called the incomplete q-Chebyshev polynomials of the first and second kind. We obtain recurrence relations and several properties of these polynomials. We show that there are connections between the incomplete q-Chebyshev polynomials and the some well-known polynomials.