# 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 $\alpha $ was more precisely identified as the
*Riemann-Liouville* fractional integral operator of order $\alpha $, 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 $\frac{\partial {\mathrm{\Psi}}^{(\mathrm{H})}}{\partial x}$ in the second term, rather than $\frac{\partial {\mathrm{\Psi}}^{(\mathrm{E})}}{\partial x}$.

*Reported 2010-04-02.*