Approximate Solution of Difference Equations
Difference equations (recursion relations) occur so frequently in applied mathematics that we allot a full chapter to a discussion of the behavior of their solutions. We will study the problem of determining the behavior of a n , the solution to a difference equation, as n → ∞. This is the most common kind of asymptotics problem involving difference equations.
KeywordsSingular Point Asymptotic Expansion Difference Equation Controlling Factor Recursion Relation
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Chapter 5 For a general discussion of asymptotic methods see Ref. 14. The Stirling series is discussed in Ref. 12. For a discussion of nonlinear recursion relations see Ref. 16 and
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