modified%20Bessel%20functions
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1—10 of 17 matching pages
1: 10.73 Physical Applications
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§10.73(i) Bessel and Modified Bessel Functions
… ► … ►Consequently, Bessel functions , and modified Bessel functions , are central to the analysis of microwave and optical transmission in waveguides, including coaxial and fiber. … … ►On separation of variables into cylindrical coordinates, the Bessel functions , and modified Bessel functions and , all appear. …2: 10.75 Tables
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British Association for the Advancement of Science (1937) tabulates , , , 7–8D; , , , 7–10D; , , , , , 8D. Also included are auxiliary functions to facilitate interpolation of the tables of , for small values of .
3: Bibliography M
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Calculation of the modified Bessel functions of the second kind with complex argument.
Math. Comp. 20 (95), pp. 407–412.
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4: 11.14 Tables
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§11.14(ii) Struve Functions
►Abramowitz and Stegun (1964, Chapter 12) tabulates , , and for and , to 6D or 7D.
Zhang and Jin (1996) tabulates and for and to 8D or 7S.
§11.14(iii) Integrals
… ►§11.14(v) Incomplete Functions
…5: Bibliography G
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Inequalities for modified Bessel functions and their integrals.
J. Math. Anal. Appl. 420 (1), pp. 373–386.
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On the computation of modified Bessel function ratios.
Math. Comp. 32 (143), pp. 865–875.
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Some integrals involving three modified Bessel functions. I.
J. Math. Phys. 27 (3), pp. 682–687.
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Some integrals involving three modified Bessel functions. II.
J. Math. Phys. 27 (3), pp. 688–695.
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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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6: Bibliography S
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A code to evaluate modified Bessel functions based on the continued fraction method.
Comput. Phys. Comm. 105 (2-3), pp. 263–272.
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Bounds for ratios of modified Bessel functions and associated Turán-type inequalities.
J. Math. Anal. Appl. 374 (2), pp. 516–528.
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Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
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Uniform asymptotic expansions of modified Mathieu functions.
J. Reine Angew. Math. 247, pp. 1–17.
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On the calculation of complex zeros of the modified Bessel function of the second kind.
Dokl. Akad. Nauk SSSR 280 (2), pp. 296–299.
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7: 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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Complex zeros of the modified Bessel function
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Math. Comp. 26 (120), pp. 949–953.
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Bounds for ratios of modified Bessel functions.
Integral Transform. Spec. Funct. 9 (4), pp. 293–298.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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Modified Clenshaw-Curtis method for the computation of Bessel function integrals.
BIT 23 (3), pp. 370–381.
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Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations.
J. Quantit. Spec. and Rad. Trans. 62 (4), pp. 389–395.
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9: 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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Calculation of modified Bessel functions in a complex domain.
Zh. Vychisl. Mat. i Mat. Fiz. 24 (5), pp. 650–664.
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Calculation of the complex zeros of the modified Bessel function of the second kind and its derivatives.
Zh. Vychisl. Mat. i Mat. Fiz. 24 (8), pp. 1150–1163.
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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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Tables of values of the modified Mathieu functions.
Math. Comp. 14, pp. 118–129.
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10: Bibliography O
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Complete elliptic integrals resulting from infinite integrals of Bessel functions.
J. Res. Nat. Bur. Standards Sect. B 78B (3), pp. 113–135.
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Complete elliptic integrals resulting from infinite integrals of Bessel functions. II.
J. Res. Nat. Bur. Standards Sect. B 79B (3-4), pp. 137–170.
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An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series.
J. Inst. Math. Appl. 20 (3), pp. 379–391.
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Formulae and Tables, The Modified Quotients of Cylinder Functions.
Technical report
Technical Report UDC 517.564.3:518.25, Vol. 4, Report of the Institute of Industrial Science, University of Tokyo, Institute of Industrial Science, Chiba City, Japan.
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Modified quotients of cylinder functions.
Math. Tables Aids Comput. 10, pp. 27–28.
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