On similarities between exponential polynomials and hermite polynomials

• Autorzy: Hetmaniok E. , Pleszczyński M. , Słota D. , Wituła R.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to introduce and compare some fundamental analytical properties of the title polynomials. Many similarities between them are emphasized in the paper. Moreover, the authors present many isolated results, new proofs and identities.

Słowa kluczowe

EN

Stirling numbers; Bell polynomials; Hermite polynomials; exponential polynomial; generalized Hermite-Bell polynomials; Dobinski’s formula

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 93--104
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Hetmaniok E.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Pleszczyński M.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Słota D.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Wituła R.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

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