infinite partial fractions
♦ 8 matching pages ♦
8 matching pages
§4.36 Infinite Products and Partial Fractions…
§4.22 Infinite Products and Partial Fractions…
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… ►
§1.2(iii) Partial Fractions…
… ►As shown in Temme (1996b, §3.4), the results given in §5.7(ii) can be used to sum infinite series of rational functions. … ►By decomposition into partial fractions (§1.2(iii)) … ►Many special functions can be represented as a Mellin–Barnes integral, that is, an integral of a product of gamma functions, reciprocals of gamma functions, and a power of , the integration contour being doubly-infinite and eventually parallel to the imaginary axis at both ends. …
A code to calculate (high order) Bessel functions based on the continued fractions method.
Comput. Phys. Comm. 76 (3), pp. 381–388.
Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions.
ACM Trans. Math. Softw. 40 (2), pp. 14:1–14:12.
Partial fractions expansions and identities for products of Bessel functions.
J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
The problem of an infinite plate under an inclined loading, with tables of the integrals of and
Quart. J. Mech. Appl. Math. 7 (1), pp. 1–7.
… ►in which is finite, is finite or infinite, and is the angle of slope of at , that is, as along . … ►However, if , then and different branches of some of the fractional powers of are used for the coefficients ; again see §2.3(iii). … ►Suppose that on the integration path there are two simple zeros of that coincide for a certain value of . … ►with and chosen so that the zeros of correspond to the zeros , say, of the quadratic . … ►