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A Lagrangian method is introduced recently for deriving indefinite integrals of special functions that satisfy homogeneous (nonhomogeneous) second-order linear differential equations. This paper extends this method to include indefinite…

Classical Analysis and ODEs · Mathematics 2022-05-11 Gamela E. Heragy , Zeinab S. I. Mansour , Karima M. Orabya

The results of difference sequences theory are applied to analytic function theory and Diophantine equations. As a result we have the equation which connects the $n$-th derivative of a function with the difference sequence for the values of…

General Mathematics · Mathematics 2014-01-15 Georgii Khantarzhiev

The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method of solving nonlinear ordinary differential equations could be proved are formulated and elaborated. The generalization of…

Computational Physics · Physics 2009-11-07 V. B. Mandelzweig , F. Tabakin

Five different versions of the three-dimensional (3D) reduction of the Bethe-Salpeter (BS) equation in the instantaneous approximation for kernel of BS equation for the two-fermion systems are formulated. The normalization condition for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Kopaleishvili

In this paper, we employ the fractional $q$-calculus in solving a triple system of $q$-Integral equations, where the kernel is the third Jackson $q$-Bessel functions. The solution is reduced to two simultaneous Fredholm $q$-integral…

Mathematical Physics · Physics 2015-06-04 Z. S. Mansour , M. A. AL-Towailb

It is known that difference equations generated as the Newton-Raphson iteration for quadratic equations are solvable in closed form, and the solution can be constructed from linear three-term recurrence relations with constant coefficients.…

Exactly Solvable and Integrable Systems · Physics 2023-09-26 Kazuki Maeda

In this paper we investigate the distribution of the set of values of a quadratic form Q, at integral points. In particular we are interested in the n-point correlations of the this set. The asymptotic behaviour of the counting function…

Number Theory · Mathematics 2014-01-08 Oliver Sargent

The general idea of this paper is to start from a classical integrable (partial differential) equation which arises as a compatibility condition for a matrix linear differential problem. For definitiveness' sake, a generalised sinh-Gordon…

High Energy Physics - Theory · Physics 2026-05-19 Davide Fioravanti , Marco Rossi

We define a new query measure we call quantum distinguishing complexity, denoted QD(f) for a Boolean function f. Unlike a quantum query algorithm, which must output a state close to |0> on a 0-input and a state close to |1> on a 1-input, a…

Quantum Physics · Physics 2019-02-12 Shalev Ben-David , Robin Kothari

We calculate both connected and disconnected contribution to the $\pi$-$N$ $\sigma$-term in quenched lattice QCD with Wilson quark action on a $12^3\times 20$ lattice at $\beta=5.7$. The latter is evaluated with the aid of the variant wall…

High Energy Physics - Lattice · Physics 2009-10-22 M. Fukugita , Y. Kuramashi , M. Okawa , A. Ukawa

We evaluate the N to Delta axial transition form factors in lattice QCD in the quenched theory, with two degenerate flavors of dynamical Wilson fermions and using domain wall valence fermions with staggered sea quark configurations. We…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , Th. Leontiou , J. W. Negele , A. Tsapalis

We study a class of kinetic-type differential equations $\partial \phi_t/\partial t+\phi_t=\widehat{\mathcal{Q}}\phi_t$, where $\widehat{\mathcal{Q}}$ is an inhomogeneous smoothing transform and, for every $t\geq 0$, $\phi_t$ is the…

Probability · Mathematics 2023-09-20 Dariusz Buraczewski , Piotr Dyszewski , Alexander Marynych

In this paper we complete the derivations of finite volume partition functions for QCD using random matrix theories by calculating the effective low-energy partition function for three-dimensional QCD in the adjoint representation from a…

High Energy Physics - Theory · Physics 2009-10-31 U. Magnea

The four N to $\Delta$ axial transition form factors are evaluated using quenched QCD, using two flavors of dynamical Wilson fermions and using domain wall valence fermions on three-flavor MILC configurations for pion masses down to 360…

High Energy Physics - Lattice · Physics 2008-11-26 Constantia Alexandrou , Theodoros Leontiou , John W. Negele , Antonios Tsapalis

We give an example of solutions of the connection problem associated with a certain system of linear $q$-difference equations recently introduced by Park. The result contains a connection formulas of the $q$-Lauricella hypergeometric…

Classical Analysis and ODEs · Mathematics 2022-10-24 Takahiko Nobukawa

We survey methods and results of fractional differential equations in which an unknown function is under the operation of integration and/or differentiation of fractional order. As an illustrative example, we review results on fractional…

Analysis of PDEs · Mathematics 2018-11-12 Moulay Rchid Sidi Ammi , Delfim F. M. Torres

This article shows how to find the solution of an arbitrary quintic equation by performing two simultaneous folds on a sheet of paper. The folds achieve specific incidences between a set of points and lines that are determined by the…

History and Overview · Mathematics 2018-04-03 Jorge C. Lucero

An analytical expression of the strain distribution due to lattice mismatch is obtained in an infinite isotropic elastic medium (a matrix) with a three-dimensional polyhedron-shaped inclusion (a quantum dot). The expression was obtained…

Other Condensed Matter · Physics 2013-08-27 A. V. Nenashev , A. V. Dvurechenskii

We recently proposed a method coupling quantum mechanics (QM) methods and molecular density functional theory (MDFT) to describe mixed quantum-classical systems [J. Chem. Phys. 161, 014113 (2024)]. This approach is particularly appropriate…

Chemical Physics · Physics 2025-11-21 Maxime Labat , Guillaume Jeanmairet , Emmanuel Giner

In this work, we obtain the numerical temperature field to a thermally developing fluid flow inside parallel plates problem with a quantum computing method. The physical problem deals with the heat transfer of a steady state,…