Blasiak, P.; Dattoli, G.; Horzela, A.; Penson, K.A.; Zhukovsky, K.
Motzkin numbers, central trinomial coefficients and hybrid polynomials
J. Integer Seq. 11(1), Article 08.1.1, 11 p., electronic only (2008)
Summary
Summary: 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.
Mathematics Subject Classification
11B83, 05A19, 33C45
Keywords/Phrases
central trinomial coefficients, Motzkin numbers, Hermite-kampé de fériét polynomials
