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1: 3.6 Linear Difference Equations

… ►Then $w_n$ is said to be a recessive (equivalently, minimal or distinguished) solution as $n\to \mathrm{\infty }$, and it is unique except for a constant factor. … …

2: Bibliography S

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Asymptotic solutions of nonlinear evolution equations and a Painlevé transcendent. Phys. D 3 (1-2), pp. 165–184.

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External Links:

Document, ZentralBlatt

Referenced by:

§32.11(ii).

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Flux vacua and branes of the minimal superstring. J. High Energy Phys. 2005 (01), pp. 1–37.

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Notes:

Electronic. E-print number: hep-th/0412315. 38 pp.

External Links:

Link, ISSN 1126-6708, Document, MathReview (S. Yu. Alexandrov)

Referenced by:

§32.16.

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Lamé polynomial solutions to some elliptic crack and punch problems. Internat. J. Engrg. Sci. 16 (8), pp. 551–563.

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External Links:

ISSN 0020-7225, Document, MathReview, ZentralBlatt

Referenced by:

§29.19(ii).

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The computation of eigenvalues and solutions of Mathieu’s differential equation for noninteger order. ACM Trans. Math. Software 19 (3), pp. 377–390.

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External Links:

ISSN 0098-3500, Document, ZentralBlatt

Referenced by:

item (e).

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The linear differential equation whose solutions are the products of solutions of two given differential equations. J. Math. Anal. Appl. 98 (1), pp. 130–147.

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External Links:

ISSN 0022-247X, Document, FullText, MathReview (Wolfgang Bühring), ZentralBlatt

Referenced by:

§1.13(v).

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3: 3.11 Approximation Techniques

… ►Then there exists a unique $n$th degree polynomial $p_n(x)$, called the minimax (or best uniform) polynomial approximation to $f(x)$ on $[a,b]$, that minimizes ${\max }_{a\le x\le b}\left|{ϵ}_n(x)\right|$, where ${ϵ}_n(x)=f(x)-p_n(x)$. … ►of type $[k,\mathrm{\ell }]$ to $f$ on $[a,b]$ minimizes the maximum value of $\left|{ϵ}_{k,\mathrm{\ell }}(x)\right|$ on $[a,b]$, where … ►With $b_0=1$, the last $q$ equations give $b_1,\mathrm{\dots },b_q$ as the solution of a system of linear equations. … ►that minimizes … ►of given functions ${\varphi }_k(x)$, $k=0,1,\mathrm{\dots },n$, that minimizes …