Jacobi fraction (J-fraction)
(0.002 seconds)
21—30 of 217 matching pages
21: 22.7 Landen Transformations
22: 18.14 Inequalities
23: 27.9 Quadratic Characters
…
►
27.9.3
►If an odd integer has prime factorization , then the Jacobi symbol
is defined by , with .
The Jacobi symbol is a Dirichlet character (mod ).
…
24: 22.2 Definitions
25: 18.6 Symmetry, Special Values, and Limits to Monomials
…
►For Jacobi, ultraspherical, Chebyshev, Legendre, and Hermite polynomials, see Table 18.6.1.
…
►
►
§18.6(ii) Limits to Monomials
►
18.6.2
►
18.6.3
…
26: 20.15 Tables
…
►This reference gives , , and their logarithmic -derivatives to 4D for , , where is the modular angle given by
►
20.15.1
►Spenceley and Spenceley (1947) tabulates , , , to 12D for , , where and is defined by (20.15.1), together with the corresponding values of and .
►Lawden (1989, pp. 270–279) tabulates , , to 5D for , , and also to 5D for .
►Tables of Neville’s theta functions , , , (see §20.1) and their logarithmic -derivatives are given in Abramowitz and Stegun (1964, pp. 582–585) to 9D for , where (in radian measure) , and is defined by (20.15.1).
…
27: 20.8 Watson’s Expansions
…
►
20.8.1
…