Name
Abstract | ||
|---|---|---|
The first author has recently proved a Kibble-Slepian type formula for the 2D-Hermite polynomials { H m , n ( z , z ¿ ) } which extends the Poisson kernel for these polynomials. We provide a combinatorial proof of a closely related formula. The combinatorial structures involved are the so-called m-involutionary ¿-graphs. They are enumerated in two different manners: first globally, then as the exponential of their connected components. We also give a combinatorial model for the 2D-Laguerre polynomials and study their linearization coefficients. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.aam.2014.12.002 | Advances in Applied Mathematics |
Keywords | Field | DocType |
primary,inequalities | Wilson polynomials,Combinatorics,Laguerre polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Gegenbauer polynomials,Discrete orthogonal polynomials,Mehler–Heine formula,Difference polynomials,Mathematics | Journal |
Volume | Issue | ISSN |
64 | C | 0196-8858 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mourad E. H. Ismail | 1 | 75 | 25.95 |
| Jiang Zeng | 2 | 145 | 24.69 |