infinite%20partial%20fractions
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1: 4.22 Infinite Products and Partial Fractions
§4.22 Infinite Products and Partial Fractions
…2: 4.36 Infinite Products and Partial Fractions
§4.36 Infinite Products and Partial Fractions
…3: Bibliography R
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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.
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On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function.
Mathematics 9 (16).
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Partial fractions expansions and identities for products of Bessel functions.
J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
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The problem of an infinite plate under an inclined loading, with tables of the integrals of and
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Quart. J. Mech. Appl. Math. 7 (1), pp. 1–7.
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4: 20 Theta Functions
Chapter 20 Theta Functions
…5: Bibliography K
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Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library.
ACM Trans. Math. Software 20 (4), pp. 447–459.
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Methods of computing the Riemann zeta-function and some generalizations of it.
USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
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An indirect method for evaluating certain infinite integrals.
Z. Angew. Math. Phys. 29 (3), pp. 380–386.
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Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I.
Inverse Problems 20 (4), pp. 1165–1206.
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The Askey scheme as a four-manifold with corners.
Ramanujan J. 20 (3), pp. 409–439.
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6: 3.8 Nonlinear Equations
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►For the computation of zeros of Bessel functions, Coulomb functions, and conical functions as eigenvalues of finite parts of infinite tridiagonal matrices, see Grad and Zakrajšek (1973), Ikebe (1975), Ikebe et al. (1991), Ball (2000), and Gil et al. (2007a, pp. 205–213).
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3.8.15
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►Consider and .
We have and .
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3.8.16
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7: 1.9 Calculus of a Complex Variable
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§1.9(v) Infinite Sequences and Series
… ►This sequence converges pointwise to a function if … ► … ►§1.9(vii) Inversion of Limits
… ►Dominated Convergence Theorem
…8: 25.12 Polylogarithms
9: 1.10 Functions of a Complex Variable
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§1.10(ix) Infinite Products
… ►The convergence of the infinite product is uniform if the sequence of partial products converges uniformly. … ►§1.10(x) Infinite Partial Fractions
… ►Mittag-Leffler’s Expansion
…10: 1.5 Calculus of Two or More Variables
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