Results 11 to 20 of about 3,946,822 (379)
Calculating multiloop integrals using dimensional recurrence relation and D-analyticity [PDF]
, 2010 We review the method of the calculation of multiloop integrals recently suggested in Ref.[Lee2010]. A simple method of derivation of the dimensional recurrence relation suitable for automatization is given.
Baikov +6 more
core +2 more sources
On the constant coefficients of a certain recurrence relation: A simple proof. [PDF]
Heliyon, 2021 Anđelić M, da Fonseca CM.
europepmc +3 more sources
An Undecidable Nested Recurrence Relation [PDF]
Conference on Computability in Europe, 2012 Roughly speaking, a recurrence relation is nested if it contains a subexpression of the form ... A(...A(...)...). Many nested recurrence relations occur in the literature, and determining their behavior seems to be quite difficult and highly dependent on their initial conditions.
Marcel Celaya, Frank Ruskey
openaire +4 more sources
Active oscillator: Recurrence relation approach [PDF]
The Physics of Fluids, 2023 The present work analyzes stationary distributions of active Brownian particles in a harmonic trap. Generally, obtaining stationary distributions for this system is non-trivial, and to date, no exact expressions are available.
D. Frydel
semanticscholar +1 more source
An ubiquitous three-term recurrence relation [PDF]
Journal of Mathematics and Physics, 2021 We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under suitable truncation, yields exact ...
P. Amore, F. Fernández
semanticscholar +1 more source
On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices
Computers and Mathematics with Applications, 2016 Ji-Teng Jia, Boting Yang, Sumei Li
semanticscholar +2 more sources
A generalization of the array type polynomials [PDF]
Mathematica Moravica, 2022 We introduce a generalization of the array type polynomials by using two specific generating functions and investigate some of its basic properties in the sequel. A recurrence relation and two summation formulas involving these polynomials are also given.
Masjed-Jamei Mohammad +2 more
doaj +1 more source
Some new identities of a type of generalized numbers involving four parameters
AIMS Mathematics, 2022 This article deals with a Horadam type of generalized numbers involving four parameters. These numbers generalize several celebrated numbers in the literature such as the generalized Fibonacci, generalized Lucas, Fibonacci, Lucas, Pell, Pell-Lucas ...
Waleed Mohamed Abd-Elhameed +2 more
doaj +1 more source
Extension of exton's hypergeometric function K16
Cubo, 2021 The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
doaj +1 more source