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5 matching pages ♦
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5 matching pages
1: Bibliography
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Regular and irregular Coulomb wave functions expressed in terms of Bessel-Clifford functions.
J. Math. Physics 33, pp. 111–116.
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A subroutine package for Bessel functions of a complex argument and nonnegative order.
Technical Report
Technical Report SAND85-1018, Sandia National Laboratories, Albuquerque, NM.
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Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order.
ACM Trans. Math. Software 12 (3), pp. 265–273.
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Repeated integrals and derivatives of
Bessel functions.
SIAM J. Math. Anal. 20 (1), pp. 169–175.
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Spherical Bessel functions
and of integer order and real argument.
Comput. Phys. Comm. 14 (3-4), pp. 261–265.
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2: 11.6 Asymptotic Expansions
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§11.6(i) Large , Fixed
… ►If the series on the right-hand side of (11.6.1) is truncated after terms, then the remainder term is . If is real, is positive, and , then is of the same sign and numerically less than the first neglected term. … ►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
…3: 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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4: 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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5: Bibliography M
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Bessel Functions for Engineers.
2nd edition, Clarendon Press, Oxford.
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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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On the zeros of a cross-product of Bessel functions of different orders.
Z. Angew. Math. Mech. 59 (6), pp. 272–273.
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The variation with respect to order of zeros of Bessel functions.
Rend. Sem. Mat. Univ. Politec. Torino 39 (2), pp. 15–25.
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Asymptotic expansions of ellipsoidal wave functions in terms of Hermite functions.
Math. Nachr. 32, pp. 49–62.
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