Normalized polynomials and their multiplication formulas

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Dere R., ŞİMŞEK Y.

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

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1847-2013-31
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: 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
  • Akdeniz University Affiliated: Yes

Abstract

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.