# difference equation

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## 1—10 of 95 matching pages

##### 1: 3.6 Linear Difference Equations

###### §3.6 Linear Difference Equations

… ►###### §3.6(ii) Homogeneous Equations

… ►###### §3.6(iv) Inhomogeneous Equations

… ►The difference equation … …##### 2: Simon Ruijsenaars

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►His main research interests cover integrable systems, special functions, analytic difference equations, classical and quantum mechanics, and the relations between these areas.
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##### 3: 2.9 Difference Equations

###### §2.9 Difference Equations

… ►or equivalently the second-order homogeneous linear difference equation … ►###### §2.9(ii) Coincident Characteristic Values

… ►For analogous results for difference equations of the form … ►##### 4: 16.25 Methods of Computation

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►There is, however, an added feature in the numerical solution of differential equations and difference equations (recurrence relations).
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##### 5: 18.40 Methods of Computation

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►Usually, however, other methods are more efficient, especially the numerical solution of difference equations (§3.6) and the application of uniform asymptotic expansions (when available) for OP’s of large degree.
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##### 6: 11.13 Methods of Computation

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###### §11.13(v) Difference Equations

►Sequences of values of ${\mathbf{H}}_{\nu}\left(z\right)$ and ${\mathbf{L}}_{\nu}\left(z\right)$, with $z$ fixed, can be computed by application of the inhomogeneous difference equations (11.4.23) and (11.4.25). …##### 7: Bibliography W

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Uniform asymptotic expansion of ${J}_{\nu}(\nu a)$ via a difference equation.
Numer. Math. 91 (1), pp. 147–193.
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Asymptotic expansions for second-order linear difference equations with a turning point.
Numer. Math. 94 (1), pp. 147–194.
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Linear difference equations with transition points.
Math. Comp. 74 (250), pp. 629–653.
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Asymptotic expansions for second-order linear difference equations. II.
Stud. Appl. Math. 87 (4), pp. 289–324.
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Asymptotic expansions for second-order linear difference equations.
J. Comput. Appl. Math. 41 (1-2), pp. 65–94.
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##### 8: 24.4 Basic Properties

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###### §24.4(i) Difference Equations

…##### 9: Bibliography Z

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Doron Zeilberger’s Maple Packages and Programs
Department of Mathematics, Rutgers University, New Jersey.
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Error bounds for asymptotic solutions of second-order linear difference equations.
J. Comput. Appl. Math. 71 (2), pp. 191–212.
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##### 10: Bibliography O

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Inverse factorial-series solutions of difference equations.
Proc. Edinb. Math. Soc. (2) 47 (2), pp. 421–448.
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Numerical solution of second-order linear difference equations.
J. Res. Nat. Bur. Standards Sect. B 71B, pp. 111–129.
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Bounds for the solutions of second-order linear difference equations.
J. Res. Nat. Bur. Standards Sect. B 71B (4), pp. 161–166.
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