M ay 2 00 4 ψ - Appell polynomials ’ solutions of the Q ( ∂ ψ ) - difference calculus nonhomogeneous equation
ثبت نشده
چکیده
منابع مشابه
$\psi$-Appell polynomials` solutions of an umbral difference nonhomogeneous equation
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 ...
متن کاملN ov 2 00 4 Information on some recent applications of umbral extensions to discrete mathematics
At the first part of our communicate we show how specific umbral extensions of the Stirling numbers of the second kind result in new type of Dobinski-like formulas. In the second part among others one recovers how and why Morgan Ward solution of uncountable family of ψ-difference calculus nonhomogeneous equations ∆ ψ f = ϕ in the form f (x) = n≥1 B n n ψ ! ϕ (n−1) (x) + ψ ϕ(x) + p(x) extends to...
متن کاملInformation on some recent applications of umbral extensions to discrete mathematics
At the first part of our communicate we show how specific umbral extensions of the Stirling numbers of the second kind result in new type of Dobinski-like formulas. In the second part among others one recovers how and why Morgan Ward solution of uncountable family of ψ-difference calculus nonhomogeneous equations ∆ ψ f = ϕ in the form f (x) = n≥1 B n n ψ ! ϕ (n−1) (x) + ψ ϕ(x) + p(x) extends to...
متن کاملOn $\psi$-basic bernoulli-wardian polynomials
The Ward solution of ψ-difference calculus nonhomogeneous equation ∆ ψ f = ϕ ϕ =? is found in the form of f (x) = n≥1 B n n ψ ! ϕ (n−1) (x) + ψ ϕ(x) + p(x) (where B n denote ψ-Bernoulli-Ward numbers [1])-in the framework of the ψ-Finite Operator Calculus [2]-[5]. Specifications to q-calculus case and the new Fibonomial calculus case [5, 6] are made explicit. At first let us anticipate with ψ-re...
متن کاملOn Simple Characterisations of Sheffer psi- polynomials and Related Propositions of the Calculus of Sequences
A “Calculus of Sequences” had started by the 1936 publication of Ward suggesting the possible range for extensions of operator calculus of Rota-Mullin, considered by several authors and after Ward. Because of convenience we shall call the Wards calculus of sequences in its afterwards elaborated form – a ψ-calculus. The notation used by Ward, Viskov, Markowsky and Roman is accommodated in confor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008