Fermi%E2%80%93Dirac%20integrals
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11—20 of 481 matching pages
11: 25.21 Software
12: 7.18 Repeated Integrals of the Complementary Error Function
§7.18 Repeated Integrals of the Complementary Error Function
►§7.18(i) Definition
… ►§7.18(iii) Properties
… ► … ►Hermite Polynomials
…13: 19.16 Definitions
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§19.16(i) Symmetric Integrals
… ► … ►All other elliptic cases are integrals of the second kind. …(Note that is not an elliptic integral.) … ►Each of the four complete integrals (19.16.20)–(19.16.23) can be integrated to recover the incomplete integral: …14: Bibliography P
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Evaluation of Fermi-Dirac Integral.
In Nonlinear Numerical Methods and Rational Approximation
(Wilrijk, 1987), A. Cuyt (Ed.),
Mathematics and Its Applications, Vol. 43, pp. 435–444.
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Evaluation of the Fermi-Dirac integral of half-integer order.
Zastos. Mat. 21 (2), pp. 289–301.
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Numerical calculation of the generalized Fermi-Dirac integrals.
Comput. Phys. Comm. 55 (2), pp. 127–136.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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Stacking models of vesicles and compact clusters.
J. Statist. Phys. 80 (3–4), pp. 755–779.
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15: Bibliography T
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Scalar one-loop integrals.
Nuclear Phys. B 153 (3-4), pp. 365–401.
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LSFBTR: A subroutine for calculating spherical Bessel transforms.
Comput. Phys. Comm. 30 (1), pp. 93–99.
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Uniform asymptotic approximation of Fermi-Dirac integrals.
J. Comput. Appl. Math. 31 (3), pp. 383–387.
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High Speed Numerical Integration of Fermi Dirac Integrals.
Master’s Thesis, Naval Postgraduate School, Monterey, CA.
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Rational Chebyshev approximation for the Fermi-Dirac integral
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Solid–State Electronics 41 (5), pp. 771–773.
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16: Bibliography
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Algorithm 511: CDC 6600 subroutines IBESS and JBESS for Bessel functions and , ,
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ACM Trans. Math. Software 3 (1), pp. 93–95.
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Algorithm 683: A portable FORTRAN subroutine for exponential integrals of a complex argument.
ACM Trans. Math. Software 16 (2), pp. 178–182.
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Special Functions.
Encyclopedia of Mathematics and its Applications, Vol. 71, Cambridge University Press, Cambridge.
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Rational function approximations for Fermi-Dirac integrals.
The Astrophysical Journal Supplement Series 84, pp. 101–108.
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Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters.
J. Math. Anal. Appl. 416 (1), pp. 52–80.
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17: Bibliography D
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Irreducibility of certain generalized Bernoulli polynomials belonging to quadratic residue class characters.
J. Number Theory 25 (1), pp. 72–80.
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The Fermi-Dirac integrals
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Appl. Sci. Res. B. 6, pp. 225–239.
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Theta functions and non-linear equations.
Uspekhi Mat. Nauk 36 (2(218)), pp. 11–80 (Russian).
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Error analysis in a uniform asymptotic expansion for the generalised exponential integral.
J. Comput. Appl. Math. 80 (1), pp. 127–161.
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Uniform asymptotic expansions for Charlier polynomials.
J. Approx. Theory 112 (1), pp. 93–133.
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18: 36.2 Catastrophes and Canonical Integrals
§36.2 Catastrophes and Canonical Integrals
►§36.2(i) Definitions
… ►Canonical Integrals
… ► … ►§36.2(iii) Symmetries
…19: Bibliography G
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On the computation of generalized Fermi-Dirac and Bose-Einstein integrals.
Comput. Phys. Comm. 74 (2), pp. 233–238.
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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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Algorithm 745: Computation of the complete and incomplete Fermi-Dirac integral.
ACM Trans. Math. Software 21 (3), pp. 221–232.
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Generalized Fermi-Dirac functions and derivatives: Properties and evaluation.
Comput. Phys. Comm. 136 (3), pp. 294–309.
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Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
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20: Bibliography N
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On the numerical evaluation of the generalised Fermi-Dirac integrals.
Comput. Phys. Comm. 76 (1), pp. 48–50.
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On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
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Elliptic integrals of the second and third kinds.
Zastos. Mat. 11, pp. 99–102.
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A table of integrals of the error functions.
J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
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