Results 71 to 80 of about 209 (173)

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

A new family of q-Bernstein polynomials: probabilistic viewpoint

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

Effect of Grouting Pressure and Nozzle Diameter on the Diffusion Mechanism of Jet Grouting: A CFD–DEM Study

open access: yesAdvances in Civil Engineering, Volume 2026, Issue 1, 2026.
Grouting diffusion range is the key to evaluate the grouting effect. In this study, a theoretical model of noncohesive sediment erosion damage was established, and the main parameters affecting erosion were qualitatively analyzed. Secondly, based on the computational fluid dynamics (CFD)–discrete element method (DEM) coupling method, the effect of ...
Xiangyang Liu   +4 more
wiley   +1 more source

Explicit inverse of the Pascal matrix plus one

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
This paper presents a simple approach to invert the matrix Pn+In by applying the Euler polynomials and Bernoulli numbers, where Pn is the Pascal matrix.
Sheng-liang Yang, Zhong-kui Liu
doaj   +1 more source

Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials

open access: yes, 2012
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials. Our applications possess a number of interesting properties to study in Theory of Analytic numbers which we express in the present paper.
Araci, Serkan   +2 more
openaire   +2 more sources

Memory‐Dependent Chaotic Dynamics and Stabilization of a Nonlinear Fractional‐Order Financial System With Optimal Control

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam   +3 more
wiley   +1 more source

Dynamics of the Zeros of Analytic Continued (h,q)-Euler Polynomials

open access: yesAbstract and Applied Analysis, 2014
In this paper, we study that the (h,q)-Euler numbers En,q(h) and (h,q)-Euler polynomials En,q(h)(x) are analytic continued to Eq(h)(s) and Eq(h)(s,w). We investigate the new concept of dynamics of the zeros of analytic continued polynomials related to ...
C. S. Ryoo
doaj   +1 more source

On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials

open access: yesAxioms
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan   +3 more
doaj   +1 more source

An Extended Generalized q-Extensions for the Apostol Type Polynomials

open access: yesAbstract and Applied Analysis, 2018
Through a modification on the parameters associated with generating function of the q-extensions for the Apostol type polynomials of order α and level m, we obtain some new results related to a unified presentation of the q-analog of the generalized ...
Letelier Castilla   +2 more
doaj   +1 more source

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