$\psi$-Appell polynomials` solutions of an umbral difference nonhomogeneous equation
نویسنده
چکیده
One discovers why Morgan Ward solution [1] of ψ-difference calculus nonhomogeneous equation ∆ ψ f = ϕ in the form f (x) = n≥1 B n n ψ ! ϕ (n−1) (x) + ψ ϕ(x) + p(x) recently proposed by the present author (see-below)-extends here now to ψ-Appell polynomials case-almost automatically. The reason for that is just proper framework i.e. that of the ψ-Extended Finite Operator Calculus(EFOC) recently being developed and promoted by the present author [2, 3, 4, 5]. Illustrative specifications to q-calculus case and Fibonomial calculus case [5, 6] were already made explicit in [8] due to the of upside down convenient notation for objects of EFOC as to be compared with functional formulation [9].
منابع مشابه
M ay 2 00 4 ψ - Appell polynomials ’ solutions of the Q ( ∂ ψ ) - difference calculus nonhomogeneous equation
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