Displaying similar documents to “Reciprocal Stern Polynomials”

Some class of polynomial hypergroups

Wojciech Młotkowski (2006)

Banach Center Publications

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We provide explicit formulas for linearizing coefficients for some class of orthogonal polynomials.

Central A-polynomials for the Grassmann Algebra

Pereira Brandão Jr., Antônio, José Gonçalves, Dimas (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 16R10, 16R40, 16R50. Let F be an algebraically closed field of characteristic 0, and let G be the infinite dimensional Grassmann (or exterior) algebra over F. In 2003 A. Henke and A. Regev started the study of the A-identities. They described the A-codimensions of G and conjectured a finite generating set of the A-identities for G. In 2008 D. Gonçalves and P. Koshlukov answered in the affirmative their conjecture. In this paper we...

On certain generalized q-Appell polynomial expansions

Thomas Ernst (2014)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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...