expansions in partial fractions
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1—10 of 14 matching pages
1: 5.7 Series Expansions
§5.7(ii) Other Series
…2: 10.23 Sums
Partial Fractions
►For expansions of products of Bessel functions of the first kind in partial fractions see Rogers (2005). …3: 22.12 Expansions in Other Trigonometric Series and Doubly-Infinite Partial Fractions: Eisenstein Series
§22.12 Expansions in Other Trigonometric Series and Doubly-Infinite Partial Fractions: Eisenstein Series
… ►4: Bibliography R
5: 1.10 Functions of a Complex Variable
§1.10(x) Infinite Partial Fractions
… ►Mittag-Leffler’s Expansion
…6: Bibliography K
7: 3.10 Continued Fractions
Stieltjes Fractions
… ►Jacobi Fractions
…8: 33.23 Methods of Computation
§33.23(v) Continued Fractions
… ►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. …9: 5.19 Mathematical Applications
10: Errata
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.
Originally this equation appeared with in the second term, rather than .
Reported 2010-04-02.