Title of article
A curious q-analogue of Hermite polynomials
Author/Authors
Cigler، نويسنده , , Johann and Zeng، نويسنده , , Jiang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
18
From page
9
To page
26
Abstract
Two well-known q-Hermite polynomials are the continuous and discrete q-Hermite polynomials. In this paper we consider a new family of q-Hermite polynomials and prove several curious properties about these polynomials. One striking property is the connection with q-Fibonacci and q-Lucas polynomials. The latter relation yields a generalization of the Touchard–Riordan formula.
Keywords
Hermite polynomials , Al-Salam–Chihara polynomials , Touchard–Riordan formula , Hankel determinants , Matchings , q-Hermite polynomials , Catalan numbers
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2011
Journal title
Journal of Combinatorial Theory Series A
Record number
1531547
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