Results 91 to 100 of about 1,693 (108)

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

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 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

On a generalization of duality triads

Open Mathematics, 2006
Schork Matthias
doaj   +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

Fourier series of finite products of Bernoulli and Genocchi functions. [PDF]

J Inequal Appl, 2017
Kim T, Kim DS, Jang GW, Kwon J.
europepmc   +1 more source