recurrence relation

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11: 14.10 Recurrence Relations and Derivatives

§14.10 Recurrence Relations and Derivatives

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12: 10.6 Recurrence Relations and Derivatives

§10.6 Recurrence Relations and Derivatives

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§10.6(i) Recurrence Relations

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§10.6(iii) Cross-Products

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13: 26.5 Lattice Paths: Catalan Numbers

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§26.5(iii) Recurrence Relations

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14: 32.15 Orthogonal Polynomials

… ►with recurrence relation …Then $u_n(z)={(a_n(z))}^2$ satisfies the nonlinear recurrence relation …

15: 13.27 Mathematical Applications

… ►This identification can be used to obtain various properties of the Whittaker functions, including recurrence relations and derivatives. …

16: 14.32 Methods of Computation

… ►In other cases recurrence relations (§14.10) provide a powerful method when applied in a stable direction (§3.6); see Olver and Smith (1983) and Gautschi (1967). …

17: 33.23 Methods of Computation

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§33.23(iv) Recurrence Relations

►In a similar manner to §33.23(iii) the recurrence relations of §§33.4 or 33.17 can be used for a range of values of the integer $\mathrm{\ell }$, provided that the recurrence is carried out in a stable direction (§3.6). …

18: 10.63 Recurrence Relations and Derivatives

§10.63 Recurrence Relations and Derivatives

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§10.63(i) ${\mathrm{ber}}_{\nu }x$, ${\mathrm{bei}}_{\nu }x$, ${\ker }_{\nu }x$, ${\mathrm{kei}}_{\nu }x$

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19: 26.7 Set Partitions: Bell Numbers

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§26.7(iii) Recurrence Relation

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20: 5.5 Functional Relations

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§5.5(i) Recurrence

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5.5.1 $$\mathrm{\Gamma }\left(z+1\right)=z\mathrm{\Gamma }\left(z\right),$$

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Symbols:

$\mathrm{\Gamma }\left(z\right)$: gamma function and $z$: complex variable

A&S Ref:

6.1.15

Referenced by:

§15.4(ii), §15.4(iii), (25.11.27), (25.5.6), §5.4(i)

Permalink:

http://dlmf.nist.gov/5.5.E1

Encodings:

pMML, png, TeX

See also:

Annotations for §5.5(i), §5.5 and Ch.5

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