Higher-order Euler-type polynomials and their applications

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Aygunes A. A.

FIXED POINT THEORY AND APPLICATIONS, cilt.2013, 2013 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1812-2013-40
  • Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: generalized partial Hecke operators, higher-order Euler-type polynomials, higher-order Euler-type numbers, Apostol-Bernoulli polynomials, Frobenius-Euler polynomials, Euler polynomials, Euler numbers, functional equation, generating functions, GENERATING-FUNCTIONS, BERNOULLI, NUMBERS, ZETA, IDENTITIES, ANALOGS, SERIES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, we construct generating functions for higher-order Euler-type polynomials and numbers. By using the generating functions, we obtain functional equations related to a generalized partial Hecke operator and Euler-type polynomials and numbers. A special case of higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke operators. Moreover, we give not only some properties, but also applications for these polynomials and numbers.