Results 1 to 10 of about 3,946,822 (379)

On a recurrence relation

open access: goldQScience Connect, 2014
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]

open access: yesNumerical Algorithms 70 (2015), no. 3, 519-543, 2015
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]

open access: yesJournal of Statistical Physics, 2009
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]

open access: green, 2001
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]

open access: greenAdvances in Differential Equations, 2013
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]

open access: gold, 2017
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]

open access: yesRussian Journal of Mathematical Physics
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]

open access: green, 2014
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]

open access: yes, 2015
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]

open access: bronzeAnnales Polonici Mathematici, 1968
Stefan Czerwik
openaire   +3 more sources

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