Results 81 to 90 of about 1,005 (113)

A new formula for the coefficients of Gaussian polynomials

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4] to prove some new results concerning cyclotomic and polygonal polynomials, as well as some of ...
Andrica Dorin, Bagdasar Ovidiu
doaj   +1 more source

Probabilistic degenerate Bernstein polynomials

Applied Mathematics in Science and Engineering
In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
doaj   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

On a family of q-modified-Laguerre-Appell polynomials

Arab Journal of Basic and Applied Sciences
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
doaj   +1 more source

On a generalization of duality triads

Open Mathematics, 2006
Schork Matthias
doaj   +1 more source

Probabilistic degenerate poly-Bell polynomials associated with random variables

Mathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue, Yuankui Ma, Taekyun Kim, Dae San Kim, Wenpeng Zhang   +4 more
doaj   +1 more source

Two explicit formulas for the generalized Motzkin numbers. [PDF]

J Inequal Appl, 2017
Zhao JL, Qi F.
europepmc   +1 more source

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials. [PDF]

J Inequal Appl, 2018
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

Fourier series of sums of products of ordered Bell and poly-Bernoulli functions. [PDF]

J Inequal Appl, 2017
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

Identities associated with Milne-Thomson type polynomials and special numbers. [PDF]

J Inequal Appl, 2018
Simsek Y, Cakic N.
europepmc   +1 more source