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1: 4.36 Infinite Products and Partial Fractions
§4.36 Infinite Products and Partial Fractions
2: 4.22 Infinite Products and Partial Fractions
§4.22 Infinite Products and Partial Fractions
3: 1.2 Elementary Algebra
§1.2(iii) Partial Fractions
4: 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
22.12.13 2 K cs ( 2 K t , k ) = lim N n = - N N ( - 1 ) n π tan ( π ( t - n τ ) ) = lim N n = - N N ( - 1 ) n ( lim M m = - M M 1 t - m - n τ ) .
5: 5.7 Series Expansions
§5.7(ii) Other Series
6: 1.10 Functions of a Complex Variable
§1.10(x) Infinite Partial Fractions
Mittag-Leffler’s Expansion
7: 19.14 Reduction of General Elliptic Integrals
The last reference gives a clear summary of the various steps involving linear fractional transformations, partial-fraction decomposition, and recurrence relations. It then improves the classical method by first applying Hermite reduction to (19.2.3) to arrive at integrands without multiple poles and uses implicit full partial-fraction decomposition and implicit root finding to minimize computing with algebraic extensions. …
8: 5.19 Mathematical Applications
By decomposition into partial fractions1.2(iii)) …
9: 10.23 Sums
Partial Fractions
For expansions of products of Bessel functions of the first kind in partial fractions see Rogers (2005). …
10: Bibliography R
  • M. D. Rogers (2005) Partial fractions expansions and identities for products of Bessel functions. J. Math. Phys. 46 (4), pp. 043509–1–043509–18.