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math-ph2018★ 10 cited
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…
cs.LO2018
Rule Algebras for Adhesive Categories
Nicolas Behr, Pawel Sobocinski
We demonstrate that the most well-known approach to rewriting graphical structures, the Double-Pushout (DPO) approach, possesses a notion of sequential compositions of rules along…
math-ph2018★ 4 cited
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 of polynomials , we study the -tuple and -shifted exponential lacunary generating functions $\mathcal{G}_{K,L}(λ;x):=\sum_{…