partial fractions
(0.003 seconds)
11—20 of 21 matching pages
11: Bibliography K
12: 19.29 Reduction of General Elliptic Integrals
13: 19.20 Special Cases
14: 3.10 Continued Fractions
15: 8.19 Generalized Exponential Integral
16: 33.23 Methods of Computation
§33.23(v) Continued Fractions
►§33.8 supplies continued fractions for and . … ►Thompson and Barnett (1985, 1986) and Thompson (2004) use combinations of series, continued fractions, and Padé-accelerated asymptotic expansions (§3.11(iv)) for the analytic continuations of Coulomb functions. …17: Bibliography T
18: 3.11 Approximation Techniques
19: 21.7 Riemann Surfaces
20: Errata
These equations have been generalized to include the additional cases of , , respectively.
A number of changes were made with regard to fractional integrals and derivatives. In §1.15(vi) a reference to Miller and Ross (1993) was added, the fractional integral operator of order was more precisely identified as the Riemann-Liouville fractional integral operator of order , and a paragraph was added below (1.15.50) to generalize (1.15.47). In §1.15(vii) the sentence defining the fractional derivative was clarified. In §2.6(iii) the identification of the Riemann-Liouville fractional integral operator was made consistent with §1.15(vi).
A new Subsection Continued Fractions, has been added to cover computation of confluent hypergeometric functions by continued fractions.
A new Subsection Continued Fractions, has been added to cover computation of the Gauss hypergeometric functions by continued fractions.