Results 21 to 30 of about 747,819 (103)

A New Generalization of Two-Variable q-Gould–Hopper–Hahn–Appell Polynomials via Quantum q-Calculus

Mathematics
In this paper, we introduce a class of two-variable q-Gould–Hopper–Hahn–Appell polynomials obtained by combining a Hahn-type q-Gould–Hopper kernel with a general q-Appell factor.
Waseem Ahmad Khan, Oğuz Yağcı, Khidir Shaib Mohamed, Osman Osman, Naglaa Mohammed   +4 more
doaj   +1 more source

Truncated-exponential-based Frobenius–Euler polynomials

Advances in Difference Equations, 2019
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wiyada Kumam, Hari Mohan Srivastava, Shahid Ahmad Wani, Serkan Araci, Poom Kumam   +4 more
doaj   +1 more source

Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
wiley   +1 more source

A Note on Truncated Exponential-Based Appell Polynomials via Fractional Operators

Axioms
In this work, we construct a new class of Appell-type polynomials generated through extended truncated and truncated exponential kernels, and we analyze their core algebraic and operational features.
Waseem Ahmad Khan, Francesco Aldo Costabile, Khidir Shaib Mohamed, Alawia Adam, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Quasi-monomiality and operational identities for Laguerre–Konhauser-type matrix polynomials and their applications

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2018
It is shown that an appropriate combination of methods, relevant to matrix polynomials and to operational calculus can be a very useful tool to establish and treat a new class of matrix Laguerre–Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Laguerre–Konhauser ...
Bin-Saad, Maged G., Mohsen, Fadhle B. F.
openaire   +2 more sources

Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao   +2 more
wiley   +1 more source

Parametric kinds of generalized Apostol-Bernoulli polynomials and their properties [PDF]

, 2023
The purpose of this paper is to define generalized Apostol--Bernoulli polynomials with including a new cosine and sine parametric type of generating function using the quasi-monomiality properties and trigonometric functions.
Qi, Feng, Özat, Zeynep, Çekim, Bayram, Kızılateş, Can   +3 more
core  

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

Lax Pairs for BKM Hierarchy

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cases of the BKM systems, our construction provides Lax pairs for many integrable hierarchies, including previously studied ones such as Camassa–Holm, Dullin–Gottwald ...
Andrey Yu. Konyaev, Vladimir S. Matveev
wiley   +1 more source

PRINSIP MONOMIALITY DAN FUNGSI EIGEN DARI OPERATOR DIFERENSIAL

, 2013
Diberikan suatu persamaan Apn(x) = pn(x) yang mempunyai penyelesaian tak nol, dimana adalah konstanta, A adalah operator diferensial, dan polinomial pn(x) disebut fungsi eigen.
ADE, FITRI
core   +1 more source