over infinite intervals
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1—10 of 16 matching pages
1: 13.4 Integral Representations
2: 10.43 Integrals
3: 13.16 Integral Representations
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13.16.2
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4: 9.12 Scorer Functions
5: 36.9 Integral Identities
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►For these results and also integrals over doubly-infinite intervals see Berry and Wright (1980).
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6: 10.22 Integrals
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§10.22(iii) Integrals over the Interval
… ►Additional infinite integrals over the product of three Bessel functions (including modified Bessel functions) are given in Gervois and Navelet (1984, 1985a, 1985b, 1986a, 1986b). …7: 2.8 Differential Equations with a Parameter
8: 2.3 Integrals of a Real Variable
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►If, in addition, is infinitely differentiable on and
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►assume and are finite, and is infinitely differentiable on .
…Alternatively, assume , is infinitely differentiable on , and each of the integrals , , converges as uniformly for all sufficiently large .
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►Assume that again has the expansion (2.3.7) and this expansion is infinitely differentiable, is infinitely differentiable on , and each of the integrals , , converges at , uniformly for all sufficiently large .
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(a)
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On , and are infinitely differentiable and .
9: 1.4 Calculus of One Variable
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►If exists and is continuous on an interval
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…When is unbounded, is infinitely differentiable on and we write .
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Infinite Integrals
… ►With , the total variation of on a finite or infinite interval is …where the supremum is over all sets of points in the closure of , that is, with added when they are finite. …10: Bibliography I
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IEEE Standard for Interval Arithmetic: IEEE Std 1788-2015.
The Institute of Electrical and Electronics Engineers, Inc..
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IEEE Standard for Interval Arithmetic: IEEE Std 1788.1-2017.
The Institute of Electrical and Electronics Engineers, Inc..
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The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of and of Bessel functions of any real order
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Linear Algebra Appl. 194, pp. 35–70.
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Computation of integrals over the half-line involving products of Bessel functions, with application to microwave transmission lines.
Z. Angew. Math. Mech. 75 (12), pp. 917–926.
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