Results 31 to 40 of about 62,131 (208)

A curious polynomial interpolation of Carlitz-Riordan's $q$-ballot numbers [PDF]

, 2013
We study a polynomial sequence $C_n(x|q)$ defined as a solution of a $q$-difference equation. This sequence, evaluated at $q$-integers, interpolates Carlitz-Riordan's $q$-ballot numbers.
Chapoton, Frédéric, Zeng, Jiang
core   +5 more sources

One Parameter Polynomial Exponential Distribution with Binomial Mixture

Revstat Statistical Journal
A further generalized version of one parameter polynomial exponential distribution with binomial probability mass as a mixture called a Binomial Mixture One Parameter Polynomial Exponential Distribution (BMOPPE) is proposed in the article.
Molay Kumar Ruidas, Indrani Mukherjee, Mriganka Mouli Choudhury, Sudhansu S. Maiti , Sumanta Adhya   +4 more
doaj   +1 more source

The binomial-Stirling–Eulerian polynomials

European Journal of Combinatorics
We introduce the binomial-Stirling-Eulerian polynomials, denoted $\tilde{A}_n(x,y|α)$, which encompass binomial coefficients, Eulerian numbers and two Stirling statistics: the left-to-right minima and the right-to-left minima. When $α=1$, these polynomials reduce to the binomial-Eulerian polynomials $\tilde{A}_n(x,y)$, originally named by Shareshian ...
Ji, Kathy Q., Lin, Zhicong
openaire   +2 more sources

Noncommutative binomial theorem, shuffle type polynomials and Bell polynomials

, 2023
Some typos have been ...
Jia, Huan, Zhang, Yinhuo
openaire   +2 more sources

Linear Approximation Processes Based on Binomial Polynomials

Mathematics
The purpose of the article is to highlight the role of binomial polynomials in the construction of classes of positive linear approximation sequences on Banach spaces.
Octavian Agratini, Maria Crăciun
doaj   +1 more source

Inverses and eigenvalues of diamondalternating sign matrices

Special Matrices, 2014
An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva, Lin Minghua, Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

On superintegrable systems separable in Cartesian coordinates

, 2018
We continue the study of superintegrable systems of Thompson's type separable in Cartesian coordinates. An additional integral of motion for these systems is the polynomial in momenta of N-th order which is a linear function of angle variables and the ...
Grigoriev, Yu. A., Tsiganov, A. V.
core   +1 more source

Binomial Eulerian polynomials for colored permutations [PDF]

Journal of Combinatorial Theory, Series A, 2020
Binomial Eulerian polynomials first appeared in work of Postnikov, Reiner and Williams on the face enumeration of generalized permutohedra. They are $ $-positive (in particular, palindromic and unimodal) polynomials which can be interpreted as $h$-polynomials of certain flag simplicial polytopes and which admit interesting Schur $ $-positive ...
openaire   +3 more sources

Absolute irreducibility of the binomial polynomials

Journal of Algebra, 2021
In this paper we investigate the factorization behaviour of the binomial polynomials $\binom{x}{n} = \frac{x(x-1)\cdots (x-n+1)}{n!}$ and their powers in the ring of integer-valued polynomials $\operatorname{Int}(\mathbb{Z})$. While it is well-known that the binomial polynomials are irreducible elements in $\operatorname{Int}(\mathbb{Z})$, the ...
Roswitha Rissner, Daniel Windisch
openaire   +2 more sources

Quantum bumpless pipe dreams

Forum of Mathematics, Sigma
Schubert polynomials are polynomial representatives of Schubert classes in the cohomology of the complete flag variety and have a combinatorial formulation in terms of bumpless pipe dreams.
Tuong Le, Shuge Ouyang, Leo Tao, Joseph Restivo, Angelina Zhang   +4 more
doaj   +1 more source