recurrence relation

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recurrence relation

[ri′kər·əns ri‚lā·shən]
(mathematics)
An equation relating a term in a sequence to one or more of its predecessors in the sequence.
References in periodicals archive ?
The discrete Painleveequations are nonlinear difference equations that arise as compatibility conditions of linear systems, says Joshi, then warns that the deceptive simplicity of this statement hides deep layers of mathematical properties, which she outlines here.
Implementing the Dynamic Back-Propagation algorithm requires the difference equations of each parameter to be used in equations (14), (15), and (16).
The remaining part of the proof is similar to that of Theorem 0.1, by observing that Appell's O-functions satisfy the following difference equations:
The general theory of linear quantum difference equations was published in 1912 by Carmichael [3].
The following neutral difference equations/delay difference equations are obtained as particular case of (2).
In the past few years, there is a great interest in studying the oscillatory and asymptotic behavior of solutions of higher order neutral type difference equations, since such type of equations naturally arises in the applications including problems in population dynamics or in cobweb models in economics and so on.
Difference equations are powerful tool that describe the law of nature.
The initial system of difference equations on one layer (2.2), (2.3) is equivalent to the newly obtained system (2.10)-(2.11) with formulas (2.3).
Drazin inverse is applied to (3) corresponding to the difference equations; we will establish sufficient and necessary conditions for the solution of (3).
Differential and difference equations are used for modeling, solving, and discussing many problems arising in engineering and natural sciences.
On the spectrum of eigenparameter-dependent quantum difference equations. Appl.
For difference equations there will be studied such issues as solvability, equilibrium existence and stability.

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