zengő recurrence relations

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1: 16.25 Methods of Computation

… ►Methods for computing the functions of the present chapter include power series, asymptotic expansions, integral representations, differential equations, and recurrence relations. …There is, however, an added feature in the numerical solution of differential equations and difference equations (recurrence relations). …In these cases integration, or recurrence, in either a forward or a backward direction is unstable. …

2: Bibliography Z

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On the Computation of Zeros of Bessel and Bessel-related Functions. In Proceedings of the Sixth International Colloquium on Differential Equations (Plovdiv, Bulgaria, 1995), D. Bainov (Ed.), Utrecht, pp. 409–416.

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External Links:

MathReview, ZentralBlatt

Referenced by:

§10.74(vi).

Encodings:

BibTeX

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The Dilogarithm Function in Geometry and Number Theory. In Number Theory and Related Topics (Bombay, 1988), R. Askey and others (Eds.), Tata Inst. Fund. Res. Stud. Math., Vol. 12, pp. 231–249.

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External Links:

MathReview (J. Browkin), ZentralBlatt

Referenced by:

§25.12(i).

Encodings:

BibTeX

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Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials. Proc. London Math. Soc. (3) 65 (1), pp. 1–22.

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External Links:

ISSN 0024-6115, Document, Link, MathReview (R. A. Askey), ZentralBlatt

Referenced by:

§18.18(v).

Encodings:

BibTeX

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3: 24.14 Sums

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§24.14(i) Quadratic Recurrence Relations

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§24.14(ii) Higher-Order Recurrence Relations

… ►These identities can be regarded as higher-order recurrences. …

4: 33.17 Recurrence Relations and Derivatives

§33.17 Recurrence Relations and Derivatives

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5: 24.5 Recurrence Relations

§24.5 Recurrence Relations

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§24.5(i) Basic Relations

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6: 8.25 Methods of Computation

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§8.25(v) Recurrence Relations

… ►An efficient procedure, based partly on the recurrence relations (8.8.5) and (8.8.6), is described in Gautschi (1979b, 1999). …

7: 10.29 Recurrence Relations and Derivatives

§10.29 Recurrence Relations and Derivatives

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§10.29(i) Recurrence Relations

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8: 10.51 Recurrence Relations and Derivatives

§10.51 Recurrence Relations and Derivatives

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$$n{f}_{n-1}(z)-(n+1)f_{n+1}(z)=(2n+1)f_n^{\prime }(z),$$ $n=1,2,\mathrm{\dots }$,

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$$n{g}_{n-1}(z)+(n+1)g_{n+1}(z)=(2n+1)g_n^{\prime }(z),$$ $n=1,2,\mathrm{\dots }$,

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9: 18.9 Recurrence Relations and Derivatives

§18.9 Recurrence Relations and Derivatives

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§18.9(i) Recurrence Relations

… ►with initial values $p_0(x)=1$ and $p_1(x)=A_{0}x+B_0$. … ►with initial values $p_0(x)=1$ and $p_1(x)=a_0^{-1}(x-b_0)$. … ►and the structure relation …

10: 33.4 Recurrence Relations and Derivatives

§33.4 Recurrence Relations and Derivatives

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