Results 41 to 50 of about 92 (89)

The Monomiality Principle Applied to Extensions of Apostol-Type Hermite Polynomials

European Journal of Pure and Applied Mathematics
In this research paper, we present a  class of polynomials referred to as Apostol-type Hermite-Bernoulli/Euler polynomials   $\mathcal{U}_\nu(x,y;\rho;\mu)$, which can be given by the following generating function\begin{equation*} \displaystyle \frac{2-\mu+\frac{\mu}{2}\xi}{\rho e^{\xi}+(1-\mu)}e^{x \xi+y \xi^2} =\displaystyle\sum\limits_{\nu=0 ...
Stiven Díaz, William Ramírez, Clemente Cesarano, Juan Hernández, Escarlin Claribel Perez Rodriguez   +4 more
openaire   +1 more source

Dynamic programming in economics on a quantum annealer

Quantitative Economics, Volume 17, Issue 1, Page 1-37, January 2026.
We introduce novel algorithms for solving dynamic programming problems in economics on a quantum annealer, a specialized quantum computer used for combinatorial optimization. Quantum annealers begin in a superposition of all states and generate candidate global solutions in milliseconds, regardless of problem size.
Jesús Fernández‐Villaverde, Isaiah Hull   +1 more
wiley   +1 more source

Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Can Kızılateş, Cheon Seoung Ryoo   +4 more
doaj   +1 more source

On Sheffer polynomial families

4 open, 2019
Attention is focused to particular families of Sheffer polynomials which are different from the classical ones because they satisfy non-standard differential equations, including some of fractional type.
Pinelas Sandra, Ricci Paolo Emilio
doaj   +1 more source

Applying the monomiality principle to the new family of Apostol Hermite Bernoulli-type polynomials

Communications in Applied and Industrial Mathematics
Abstract In this article, we introduce a new class of polynomials, known as Apostol Hermite Bernoulli-type polynomials, and explore some of their algebraic properties, including summation formulas and their determinant form. The majority of our results are proven using generating function methods.
Ramírez, William, Cesarano, Clemente
openaire   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

Certain Properties and Characterizations of Two-Iterated Two-Dimensional Appell and Related Polynomials via Fractional Operators

Fractal and Fractional
This paper introduces the operational rule for 2-iterated 2D Appell polynomials and derives its generalized form using fractional operators. It also presents the generating relation and explicit forms that characterize the generalized 2-iterated 2D ...
Mohra Zayed, Shahid Ahmad Wani
doaj   +1 more source

Introducing Δ h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

Journal of Mathematics and Computer Science
The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler, and Genocchi polynomials, elucidating their specific properties and explicit forms.
Ramirez, William, Nisarc, Junaid, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
openaire   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

Mathematics
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani, Abdulghani Muhyi, Khaled Aldwoah, Amel Touati, Khidir Shaib Mohamed, Ria H. Egami   +5 more
doaj   +1 more source