Motzkin numbers, central trinomial coefficients and hybrid polynomials

P. Blasiak, G. Dattoli, A. Horzela, K.A. Penson, K. Zhukovsky

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3 Citations (Scopus)

Abstract

We show that the formalism of hybrid polynomials, interpolating between Hermite and Laguerre polynomials, is very useful in the study of Motzkin numbers and central trinomial coefficients. These sequences are identified as special values of hybrid polynomials, a fact which we use to derive their generalized forms and new identities satisfied by them.
Original languageEnglish
Article number08.1.1
Pages (from-to)-
JournalJournal of Integer Sequences
Volume11
Issue number1
Publication statusPublished - 13 Jan 2008
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Cite this

Blasiak, P., Dattoli, G., Horzela, A., Penson, K. A., & Zhukovsky, K. (2008). Motzkin numbers, central trinomial coefficients and hybrid polynomials. Journal of Integer Sequences, 11(1), -. [08.1.1].