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1: 11.6 Asymptotic Expansions
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§11.6(i) Large , Fixed
… ►For re-expansions of the remainder terms in (11.6.1) and (11.6.2), see Dingle (1973, p. 445). … ►§11.6(ii) Large , Fixed
… ►For fixed …and for fixed …2: Bibliography K
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Calculation of modified Bessel functions in a complex domain.
Zh. Vychisl. Mat. i Mat. Fiz. 24 (5), pp. 650–664.
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On multiple zeros of derivatives of Bessel’s cylindrical functions.
Dokl. Akad. Nauk SSSR 288 (2), pp. 285–288 (Russian).
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An improvement of the remainder term in the divisor problem.
Mat. Zametki 6, pp. 545–554 (Russian).
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Hypergeometric functions of matrix argument are expressible in terms of Appel’s functions
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Proc. Amer. Math. Soc. 70 (1), pp. 39–42.
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ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument.
Comput. Phys. Comm. 113 (2-3), pp. 220–238.
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3: Bibliography S
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A property of the zeros of cross-product Bessel functions of different orders.
Z. Angew. Math. Mech. 56 (2), pp. 120–121.
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Characterization of Jacobian varieties in terms of soliton equations.
Invent. Math. 83 (2), pp. 333–382.
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Computation of infinite integrals involving Bessel functions of arbitrary order by the -transformation.
J. Comput. Appl. Math. 78 (1), pp. 125–130.
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An inequality involving Bessel functions of argument nearly equal to their order.
Proc. Amer. Math. Soc. 4 (6), pp. 858–859.
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Numerical Methods Based on Sinc and Analytic Functions.
Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
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4: Bibliography G
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Evaluation of the modified Bessel function of the third kind of imaginary orders.
J. Comput. Phys. 175 (2), pp. 398–411.
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Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion.
J. Comput. Appl. Math. 153 (1-2), pp. 225–234.
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Algorithm 831: Modified Bessel functions of imaginary order and positive argument.
ACM Trans. Math. Software 30 (2), pp. 159–164.
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Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments.
ACM Trans. Math. Software 30 (2), pp. 145–158.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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