K. Penson

activity

20012023

most citedCombinatorics and Boson normal ordering: A gentle introduction

77 citations · 224 across the 22 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math-ph2018

Operational Methods in the Study of Sobolev-Jacobi Polynomials

Nicolas Behr, Giuseppe Dattoli, Gérard H. E. Duchamp +2

Inspired by ideas from umbral calculus and based on the two types of integrals occurring in the defining equations for the gamma and the reciprocal gamma functions, respectively, w…

math-ph2018

Explicit formulae for all higher order exponential lacunary generating functions of Hermite polynomials

Nicolas Behr, Gérard H. E. Duchamp, Karol A. Penson

For a sequence $P = (p_{n} (x))_{n = 0}^{\infty}$ of polynomials $p_{n} (x)$ , we study the $K$ -tuple and $L$ -shifted exponential lacunary generating functions $\mathcal{G}_{K,L}(λ;x):=\sum_{…