Reciprocal Stern Polynomials
A. Schinzel (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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A partial answer is given to a problem of Ulas (2011), asking when the nth Stern polynomial is reciprocal.
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Displaying similar documents to “Central A-polynomials for the Grassmann Algebra”
Reciprocal Stern Polynomials
Complex Analogues of the Rolle's Theorem
Sendov, Blagovest (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 30C10. Classical Rolle’s theorem and its analogues for complex algebraic polynomials are discussed. A complex Rolle’s theorem is conjectured.
On Rolle's theorem for polynomials over the complex numbers.
Gallardo, Luis H. (2006)
Applied Mathematics E-Notes [electronic only]
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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.
On Cherednik-Macdonald-Mehta identities.
Etingof, Pavel, Kirillov, Alexander jun. (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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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...
Differentiability of Polynomials over Reals
Artur Korniłowicz (2017)
Formalized Mathematics
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In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
Generalized Angelescu polynomial
D. P. Shukla (1979)
Matematički Vesnik
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Fully degenerate poly-Bernoulli numbers and polynomials
Taekyun Kim, Dae San Kim, Jong-Jin Seo (2016)
Open Mathematics
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In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
Fountains, histograms, and -identitie.
Paule, Peter, Prodinger, Helmut (2003)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Recurrence relation for a class of polynomials associated with the generalized Hermite polynomials.
Milovanović, Gradimir V. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Some results on biorthogonal polynomials.
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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Generalized Krawtchouk polynomials: New properties
Norris Sookoo (2000)
Archivum Mathematicum
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Orthogonality conditions and recurrence relations are presented for generalized Krawtchouk polynomials. Coefficients are evaluated for the expansion of an arbitrary polynomial in terms of these polynomials and certain special values for generalized Krawtchouk polynomials are obtained. Summations of some of these polynomials and of certain products are also considered.
A characterization of the Rogers -Hermite polynomials.
Al-Salam, Waleed A. (1995)
International Journal of Mathematics and Mathematical Sciences
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Connections between Romanovski and other polynomials
Hans Weber (2007)
Open Mathematics
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A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.