integrals%20of%20modified%20Bessel%20functions
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11—16 of 16 matching pages
11: Bibliography C
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On Temme’s algorithm for the modified Bessel function of the third kind.
ACM Trans. Math. Software 6 (4), pp. 581–586.
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Incomplete Hankel and modified Bessel functions: A class of special functions for electromagnetics.
IEEE Trans. Antennas and Propagation 52 (12), pp. 3373–3389.
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Algorithm 597: Sequence of modified Bessel functions of the first kind.
ACM Trans. Math. Software 9 (2), pp. 242–245.
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Derivatives with respect to the degree and order of associated Legendre functions for using modified Bessel functions.
Integral Transforms Spec. Funct. 21 (7-8), pp. 581–588.
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Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
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12: Bibliography B
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Asymptotic expansions of the modified Bessel function of the third kind of imaginary order.
SIAM J. Appl. Math. 15, pp. 1315–1323.
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Integral representations and summations of the modified Struve function.
Acta Math. Hungar. 141 (3), pp. 254–281.
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On numerical evaluation of integrals involving Bessel functions.
Apl. Mat. 31 (5), pp. 396–410.
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Bessel functions and modular relations of higher type and hyperbolic differential equations.
Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1952 (Tome Supplementaire), pp. 12–20.
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Algorithm 484: Evaluation of the modified Bessel functions K0(Z) and K1(Z) for complex arguments.
Comm. ACM 17 (9), pp. 524–526.
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13: 11.6 Asymptotic Expansions
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§11.6(i) Large , Fixed
… ►For the corresponding expansions for and combine (11.6.1), (11.6.2) with (11.2.5), (11.2.6), (10.17.4), and (10.40.1). … ►§11.6(ii) Large , Fixed
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The Nahm equations, finite-gap potentials and Lamé functions.
J. Phys. A 20 (10), pp. 2679–2683.
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Rational approximations for the modified Bessel function of the second kind.
Comput. Phys. Comm. 59 (3), pp. 471–493.
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Tables of Summable Series and Integrals Involving Bessel Functions.
Holden-Day, San Francisco, CA.
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Algorithm 44: Bessel functions computed recursively.
Comm. ACM 4 (4), pp. 177–178.
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The asymptotic expansion of the generalized Bessel function.
Proc. London Math. Soc. (2) 38, pp. 257–270.
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15: Bibliography L
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Bounds for modified Bessel functions.
J. Comput. Appl. Math. 34 (3), pp. 263–267.
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Numerical evaluation of integrals containing a spherical Bessel function by product integration.
J. Math. Phys. 22 (7), pp. 1399–1413.
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An application of the finite element approximation method to find the complex zeros of the modified Bessel function
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Math. Comp. 33 (148), pp. 1299–1306.
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Evaluation of Bessel function integrals with algebraic singularities.
J. Comput. Appl. Math. 37 (1-3), pp. 101–112.
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Integrals of Bessel Functions.
McGraw-Hill Book Co., Inc., New York.
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16: Bibliography V
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Accurate calculation of the modified Mathieu functions of integer order.
Quart. Appl. Math. 65 (1), pp. 1–23.
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Integrating products of Bessel functions with an additional exponential or rational factor.
Comput. Phys. Comm. 178 (8), pp. 578–590.
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Some novel infinite series of spherical Bessel functions.
Quart. Appl. Math. 42 (3), pp. 321–324.
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Integral relations for Lamé functions.
SIAM J. Math. Anal. 13 (6), pp. 978–987.
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On the localization and computation of zeros of Bessel functions.
Z. Angew. Math. Mech. 77 (6), pp. 467–475.
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