Results 91 to 100 of about 4,701 (182)

Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function

open access: yes, 2006
Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.
Rubinstein, Boris Y.
core  

On degenerate Carlitz q-Bernoulli polynomials

open access: yes, 2015
In this paper, we consider the degenerate Carlitz q-Bernoulli numbers and polynomials and we investigate some properties of those polynomials.
openaire   +2 more sources

Theta divisors and permutohedra

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley   +1 more source

On type 2 degenerate Bernoulli and Euler polynomials of complex variable

open access: yesAdvances in Difference Equations, 2019
Recently, Masjed-Jamei, Beyki, and Koepf studied the so-called new type Euler polynomials without using Euler polynomials of complex variable. Here we study the type 2 degenerate cosine-Euler and type 2 degenerate sine-Euler polynomials, which are type 2
Taekyun Kim   +3 more
doaj   +1 more source

Extended Wang sum and associated products. [PDF]

open access: yesPLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter

open access: yesMathematics, 2019
We firstly consider the fully degenerate Gould⁻Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
Ugur Duran, Patrick Njionou Sadjang
doaj   +1 more source

Probabilistic degenerate Bernstein polynomials

open access: yesApplied 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   +3 more
doaj   +1 more source

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation. [PDF]

open access: yesMicrosyst Nanoeng, 2021
Melnikov A   +7 more
europepmc   +1 more source

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