Results 51 to 60 of about 94 (83)

Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials

Mathematics
In this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities.
F. Gassem, Abdulghani Muhyi, Hadeel Arwah, Habeeb Ibrahim, Khaled Aldwoah, Amer Alsulami, Mohammed Rabih   +6 more
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

Approximate Ricci‐Flat Metrics for Calabi–Yau Manifolds

Fortschritte der Physik, Volume 74, Issue 7, July 2026.
ABSTRACT We outline a method to determine analytic Kähler potentials with associated approximately Ricci‐flat Kähler metrics on Calabi–Yau manifolds. Key ingredients are numerically calculating Ricci‐flat Kähler potentials via machine learning techniques and fitting the numerical results to Donaldson's ansatz.
Seung‐Joo Lee, Andre Lukas
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

About properties and the monomiality principle of Bell-based Apostol-Bernoulli-type polynomials

Carpathian Mathematical Publications
This article investigates the properties and monomiality principle within Bell-based Apostol-Bernoulli-type polynomials. Beginning with the establishment of a generating function, the study proceeds to derive explicit expressions for these polynomials, providing insight into their structural characteristics.
W. Ramírez, C. Cesarano, S. Wani, S. Yousuf, D. Bedoya   +4 more
openaire   +1 more source

Null projections and noncommutative function theory in operator algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
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

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

Multiplicatively dependent integer vectors on a hyperplane

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya   +2 more
wiley   +1 more source

Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications

Axioms
This paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani, Saleem Yousuf, Shahid Ahmad Wani, Roberto S. Costas-Santos   +3 more
doaj   +1 more source