Normalized polynomials and their multiplication formulas

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Dere R., ŞİMŞEK Y.

ADVANCES IN DIFFERENCE EQUATIONS, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1847-2013-31
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Bernoulli polynomials of higher order, Euler polynomials of higher order, Genocchi polynomials of higher order, Appell sequences, Hermite polynomials of higher order, umbral algebra, BERNOULLI, EULER
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to prove multiplication formulas of the normalized polynomials by using the umbral algebra and umbral calculus methods. Our polynomials are related to the Hermite-type polynomials.