Results 1 to 10 of about 3,946,822 (379)
In this paper, we investigate the nature of the solutions to the following difference equation: where the initial values , parameters α, β, B, C are positive and k ∈ {1,2,3,…} is fixed. We study the boundedness nature and global behavior of its solutions. Also, we investigate the analysis of the semi-cycles under special conditions.
Narges Rastegar, Reza Mostafaei
semanticscholar +4 more sources
Computing recurrence coefficients of multiple orthogonal polynomials [PDF]
Multiple orthogonal polynomials satisfy a number of recurrence relations, in particular there is a $(r+2)$-term recurrence relation connecting the type II multiple orthogonal polynomials near the diagonal (the so-called step-line recurrence relation) and
Filipuk, Galina+2 more
core +2 more sources
On a nonlinear recurrent relation [PDF]
We study the limiting behavior for the solutions of a nonlinear recurrent relation which arises from the study of Navier-Stokes equations. Some stability theorems are also shown concerning a related class of linear recurrent relations.
arxiv +5 more sources
Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements [PDF]
General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics. Our approach is based on a generalization of the second hypervirial method previously employed in the non ...
A L Salas-Brito+22 more
core +5 more sources
Closed-form solution of a general three-term recurrence relation [PDF]
We present a closed-form solution for n th term of a general three-term recurrence relation with arbitrary given n-dependent coefficients. The derivation and corresponding proof are based on two approaches, which we develop and describe in detail. First,
I. Gonoskov
semanticscholar +5 more sources
On the Song recurrence relation for the Riemann zeta function [PDF]
In this paper, the author uses the generating function for the Bernoulli numbers in order to obtain a new proof for a known linear recurrence relation of the Riemann zeta function with even integer arguments, .2n/. 2010 Mathematics Subject Classification:
M. Merca
semanticscholar +2 more sources
Generalization of Spivey’s Recurrence Relation [PDF]
In 2008, Spivey found a recurrence relation for the Bell numbers. We consider the probabilistic r-Bell polynomials associated with which are a probabilistic extension of the r-Bell polynomials. Here Y is a random variable whose moment generating function exists in some neighborhood of the origin . The aim of this paper is to generalize the relation for
Kim, Taekyun, Kim, Dae San
openaire +3 more sources
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials [PDF]
In this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations. Our conjecture is that the recurrence relations provided in this paper have minimal order.
Antonio J. Dur'an
semanticscholar +3 more sources
Recurrence relation for the 6j-symbol of su_q(2) as a symmetric eigenvalue problem [PDF]
A well known recurrence relation for the 6j-symbol of the quantum group su_q(2) is realized as a tridiagonal, symmetric eigenvalue problem. This formulation can be used to implement an efficient numerical evaluation algorithm, taking advantage of ...
Anderson E.+3 more
core +2 more sources
On a recurrence relation [PDF]
Stefan Czerwik
openaire +3 more sources