Rodrigues%20formulas

SearchAdvancedHelp

(0.002 seconds)

1—10 of 306 matching pages

1: 18.5 Explicit Representations

… ►

§18.5(ii) Rodrigues Formulas

… ►

Table 18.5.1: Classical OP’s: Rodrigues formulas (18.5.5).

► ►►

$p_n(x)$	$w(x)$	$F(x)$	${\kappa }_n$
…

►

►Related formula: …See (Erdélyi et al., 1953b, §10.9(37)) for a related formula for ultraspherical polynomials. … ►and two similar formulas by symmetry; compare the second row in Table 18.6.1. …

2: 18.20 Hahn Class: Explicit Representations

… ►

§18.20(i) Rodrigues Formulas

… ►

Table 18.20.1: Krawtchouk, Meixner, and Charlier OP’s: Rodrigues formulas (18.20.1).

► ►►

$p_n(x)$	$F(x)$	${\kappa }_n$
…

►

…

3: 14.7 Integer Degree and Order

… ►

§14.7(ii) Rodrigues-Type Formulas

… ►

§14.7(iii) Reflection Formulas

…

4: 18.3 Definitions

… ►

As given by a Rodrigues formula (18.5.5).

… ►For representations of the polynomials in Table 18.3.1 by Rodrigues formulas, see §18.5(ii). … ►In this chapter, formulas for the Chebyshev polynomials of the second, third, and fourth kinds will not be given as extensively as those of the first kind. However, most of these formulas can be obtained by specialization of formulas for Jacobi polynomials, via (18.7.4)–(18.7.6). … ►Formula (18.3.1) can be understood as a Gauss-Chebyshev quadrature, see (3.5.22), (3.5.23). …

5: Bibliography W

… ►

Reduction formulae for products of theta functions. J. Res. Nat. Inst. Standards and Technology 117, pp. 297–303.

ⓘ

External Links:

Document

Referenced by:

(20.7.34), §20.7(ix).

Encodings:

BibTeX

… ►

The Nahm equations, finite-gap potentials and Lamé functions. J. Phys. A 20 (10), pp. 2679–2683.

ⓘ

External Links:

ISSN 0305-4470, Document, MathReview (James M. D’Archangelo), ZentralBlatt

Referenced by:

§29.19(ii).

Encodings:

BibTeX

… ►

Recursion formulae for hypergeometric functions. Math. Comp. 22 (102), pp. 363–373.

ⓘ

External Links:

FullText, Document, MathReview (S. D. Bajpai), ZentralBlatt

Referenced by:

§16.3(ii).

Encodings:

BibTeX

… ►

Explicit formulas for the associated Jacobi polynomials and some applications. Canad. J. Math. 39 (4), pp. 983–1000.

ⓘ

External Links:

ISSN 0008-414X, MathReview (W. A. Al-Salam), ZentralBlatt

Referenced by:

§18.30(i), §18.30.

Encodings:

BibTeX

… ►

Quadrature formulas for oscillatory integral transforms. Numer. Math. 39 (3), pp. 351–360.

ⓘ

External Links:

ISSN 0029-599X, Document, MathReview (A.J. Rodrigues), ZentralBlatt

Referenced by:

§10.74(vii), §3.5(vii).

Encodings:

BibTeX

…

6: Gergő Nemes

… ►As of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions. …

7: Wolter Groenevelt

… ►As of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials. …

8: 20 Theta Functions

Chapter 20 Theta Functions

…

9: Foreword

… ►In 1964 the National Institute of Standards and Technology published the Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by Milton Abramowitz and Irene A. … ►November 20, 2009 …

10: 18.10 Integral Representations

…