AsymptoticRSolveValue

AsymptoticRSolveValue[eqn,f,x->∞] computes an asymptotic approximation to the difference equation eqn for f[x] near ∞.

AsymptoticRSolveValue[{eqn1,eqn2,…},{f1,f2,…},x-> ∞] computes an asymptotic approximation to a system of difference equations.

AsymptoticRSolveValue[eqn,f,x,ϵ->ϵ0] computes an asymptotic approximation of f[x,ϵ] for the parameter ϵ centered at ϵ0.

AsymptoticRSolveValue[eqn,f,…,{ξ,ξ0,n}] computes the asymptotic approximation to order n.

Examples

Find asymptotic solution to a recurrence:

AsymptoticRSolveValue[f[x + 1] == 2 f[x] + 1, f, x -> Infinity]

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