Results 1 to 10 of about 3,674,543 (358)
QScience 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.
Reza Mostafaei, Narges Rastegar
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Generalization of Spivey’s Recurrence Relation [PDF]
Russian Journal of Mathematical PhysicsIn 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
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On the Song recurrence relation for the Riemann zeta function [PDF]
, 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:
Mircea Merca
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Closed-form solution of a general three-term recurrence relation [PDF]
Advances in Differential Equations, 2014 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,
Ivan Gonoskov
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Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials [PDF]
, 2015 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. Durán
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On a recurrence relation [PDF]
Annales Polonici Mathematici, 1968 Stefan Czerwik
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On the constant coefficients of a certain recurrence relation: A simple proof. [PDF]
Heliyon, 2021 Anđelić M, da Fonseca CM.
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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
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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
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