About the Project
NIST

fractional

AdvancedHelp

(0.001 seconds)

1—10 of 108 matching pages

1: 12.6 Continued Fraction
§12.6 Continued Fraction
For a continued-fraction expansion of the ratio U ( a , x ) / U ( a - 1 , x ) see Cuyt et al. (2008, pp. 340–341).
2: 10.55 Continued Fractions
§10.55 Continued Fractions
For continued fractions for j n + 1 ( z ) / j n ( z ) and i n + 1 ( 1 ) ( z ) / i n ( 1 ) ( z ) see Cuyt et al. (2008, pp. 350, 353, 362, 363, 367–369).
3: 3.10 Continued Fractions
§3.10 Continued Fractions
Stieltjes Fractions
is called a Stieltjes fraction ( S -fraction). …
Jacobi Fractions
The continued fraction
4: 6.9 Continued Fraction
§6.9 Continued Fraction
5: 13.5 Continued Fractions
§13.5 Continued Fractions
13.5.1 M ( a , b , z ) M ( a + 1 , b + 1 , z ) = 1 + u 1 z 1 + u 2 z 1 + ,
This continued fraction converges to the meromorphic function of z on the left-hand side everywhere in . For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980). … This continued fraction converges to the meromorphic function of z on the left-hand side throughout the sector | ph z | < π . …
6: 18.13 Continued Fractions
§18.13 Continued Fractions
Chebyshev
Legendre
Laguerre
Hermite
7: 1.12 Continued Fractions
§1.12 Continued Fractions
Equivalence
Series
Fractional Transformations
8: 13.17 Continued Fractions
§13.17 Continued Fractions
13.17.1 z M κ , μ ( z ) M κ - 1 2 , μ + 1 2 ( z ) = 1 + u 1 z 1 + u 2 z 1 + ,
This continued fraction converges to the meromorphic function of z on the left-hand side for all z . For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980). … This continued fraction converges to the meromorphic function of z on the left-hand side throughout the sector | ph z | < π . …
9: 5.10 Continued Fractions
§5.10 Continued Fractions
10: 4.39 Continued Fractions
§4.39 Continued Fractions
For these and other continued fractions involving inverse hyperbolic functions see Lorentzen and Waadeland (1992, pp. 569–571). …