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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 of polynomials , we study the -tuple and -shifted exponential lacunary generating functions $\mathcal{G}_{K,L}(λ;x):=\sum_{…