Results 11 to 20 of about 70,029 (213)

Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences

open access: yesAdvances in Difference Equations, 2020
Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
doaj   +1 more source

A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types

open access: yesMathematics, 2019
We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
doaj   +1 more source

Melham's sums for some Lucas polynomial sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
A Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
doaj   +1 more source

Algebraic basis of the algebra of block-symmetric polynomials on $\ell_1 \oplus \ell_{\infty}$

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
We consider so called block-symmetric polynomials on sequence spaces $\ell_1\oplus \ell_{\infty}, \ell_1\oplus c, \ell_1\oplus c_0,$ that is, polynomials which are symmetric with respect to permutations of elements of the sequences.
V.V. Kravtsiv
doaj   +1 more source

The Lazard formal group, universal congruences and special values of zeta functions [PDF]

open access: yes, 2015
A connection between the theory of formal groups and arithmetic number theory is established. In particular, it is shown how to construct general Almkvist--Meurman--type congruences for the universal Bernoulli polynomials that are related with the Lazard
Tempesta, Piergiulio
core   +4 more sources

Laguerre polynomials in several hypercomplex variables and their matrix representation [PDF]

open access: yes, 2011
Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials.
Malonek, Helmuth Robert, Tomaz, Graça
core   +1 more source

A few remarks on orthogonal polynomials [PDF]

open access: yes, 2014
Knowing a sequence of moments of a given, infinitely supported, distribution we obtain quickly: coefficients of the power series expansion of monic polynomials $\left\{ p_{n}\right\} _{n\geq 0}$ that are orthogonal with respect to this distribution ...
Szabłowski, Paweł J.
core   +1 more source

Cyclic Codes via the General Two-Prime Generalized Cyclotomic Sequence of Order Two

open access: yesJournal of Mathematics, 2020
Suppose that p and q are two distinct odd prime numbers with n=pq. In this paper, the uniform representation of general two-prime generalized cyclotomy with order two over ℤn was demonstrated. Based on this general generalized cyclotomy, a type of binary
Xia Zhou
doaj   +1 more source

Tur\'{a}n's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials

open access: yes, 2020
An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal polynomials satisfying a specific but frequently satisfied nonnegative ...
Kahler, Stefan
core   +1 more source

Schubert Polynomials and Quiver Formulas [PDF]

open access: yes, 2002
The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type $A$. The main ingredients in this formula are Schur determinants and certain integers, the quiver coefficients, which ...
Buch, Anders Skovsted   +3 more
core   +3 more sources

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