Displaying similar documents to “Investigating geometric and exponential polynomials with Euler-Seidel matrices.”

Extension of classical sequences to negative integers

Benali Benzaghou, Daniel Barsky (2006)

Discussiones Mathematicae - General Algebra and Applications

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We give a method to extend Bell exponential polynomials to negative indices. This generalizes many results of this type such as the extension to negative indices of Stirling numbers or of Bernoulli numbers.

An introduction to finite fibonomial calculus

Ewa Krot (2004)

Open Mathematics

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This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].

On certain generalized q-Appell polynomial expansions

Thomas Ernst (2015)

Annales UMCS, Mathematica

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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...