Results 31 to 40 of about 444,815 (174)

Recursion relations for Hylleraas three-electron integral

, 2004
Recursion relations for Hylleraas three-electron integral are obtained in a closed form by using integration by parts identities. Numerically fast and well stable algorithm for the calculation of the integral with high powers of inter-electronic ...
E. Remiddi, Ettore Remiddi, F. V. Tkachov, F. W. King, G. W. F. Drake, Krzysztof Pachucki, Mariusz Puchalski   +6 more
core   +1 more source

Arithmetic Identities Involving Bernoulli and Euler Numbers

International Journal of Mathematics and Mathematical Sciences, 2012
The purpose of this paper is to give some arithmatic identities for the Bernoulli and Euler numbers. These identities are derived from the several p-adic integral equations on ℤp.
H.-M. Kim, D. S. Kim
doaj   +1 more source

Commutator identities on associative algebras and integrability of nonlinear pde's

, 2007
It is shown that commutator identities on associative algebras generate solutions of linearized integrable equations. Next, a special kind of the dressing procedure is suggested that in a special class of integral operators enables to associate to such ...
A. Davey, A. K. Pogrebkov, A. P. Veselov, A. S. Fokas, A. Yu. Orlov, A. Yu. Orlov, B. B. Kadomtsev, E. Date, M. Boiti, M. Boiti, M. Boiti, M. Boiti, M. Boiti, M. Boiti, M. J. Ablowitz, S. V. Manakov, T. I. Garagash, T. I. Garagash, V. E. Zakharov, V. E. Zakharov, V. S. Dryuma   +20 more
core   +2 more sources

Integral Formulae of Bernoulli and Genocchi Polynomials

International Journal of Mathematics and Mathematical Sciences, 2012
Recently, some interesting and new identities are introduced in the work of Kim et al. (2012). From these identities, we derive some new and interesting integral formulae for Bernoulli and Genocchi polynomials.
Seog-Hoon Rim, Joung-Hee Jin, Joohee Jeong   +2 more
doaj   +1 more source

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

Fractal and Fractional, 2021
Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez, Muhammad Shoaib Saleem, Sana Sajid, Muhammad Sajid Zahoor, Artion Kashuri   +4 more
doaj   +1 more source

Scaling Identities for Solitons beyond Derrick's Theorem

, 2008
New integral identities satisfied by topological solitons in a range of classical field theories are presented. They are derived by considering independent length rescalings in orthogonal directions, or equivalently, from the conservation of the stress ...
Bogomolny E. B., Manton N. S., Nicholas S. Manton   +2 more
core   +1 more source

BOUNDARY CHARACTERISTICS IN HEAT-CONDUCTION PROBLEMS. ANALYSIS OF ACCURACY AND CONVERGENCE OF SOLUTIONS

Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2016
Results of numerical analysis of accuracy and convergence of solutions on the basis of the integral method of boundary characteristics are presented.
V. A. KOT
doaj  

New Estimates on Hermite–Hadamard Type Inequalities via Generalized Tempered Fractional Integrals for Convex Functions with Applications

Fractal and Fractional, 2023
This paper presents a novel approach by introducing a set of operators known as the left and right generalized tempered fractional integral operators.
Artion Kashuri, Yahya Almalki, Ali M. Mahnashi, Soubhagya Kumar Sahoo   +3 more
doaj   +1 more source

The Partition Function of Multicomponent Log-Gases

, 2011
We give an expression for the partition function of a one-dimensional log-gas comprised of particles of (possibly) different integer charge at inverse temperature {\beta} = 1 (restricted to the line in the presence of a neutralizing field) in terms of ...
Berezin F A, Boussicault A, Christopher D Sinclair, de Bruijn N G, Forrester P, Forrester P J, Halperin B I, Jokela N, Jokela N, Luque J-G, Luque J-G, Mehta M L, Meray C, Rains E M, Rider B, Selberg A, Sinclair C D, Sinclair C D   +17 more
core   +1 more source

A METHOD OF BOUNDARY CHARACTERISTICS BASED ON THE HEAT-BALANCE INTEGRAL IN HEAT-CONDUCTION PROBLEMS

Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2016
On the basis of systems of identical equalities formed by 2n-multiple integrals of the desired temperature function and integral boundary characteristics, analytical solutions of the boundary problem on the nonstationary heat conduction of an extended ...
V. A. Kot
doaj