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1—10 of 608 matching pages
1: Bibliography H
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The Laplace transform for expressions that contain a probability function.
Bul. Akad. Štiince RSS Moldoven. 1973 (2), pp. 78–80, 93 (Russian).
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Integrals containing the Fresnel functions and
.
Bul. Akad. Štiince RSS Moldoven. 1975 (3), pp. 48–60, 93 (Russian).
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Lamé polynomials of large order.
SIAM J. Math. Anal. 8 (5), pp. 800–842.
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Calculation of Coulomb wave functions for high energies.
Phys. Rev. 54 (8), pp. 627–628.
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Coulomb Wave Functions.
In Handbuch der Physik, Bd. 41/1, S. Flügge (Ed.),
pp. 408–465.
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2: 34.6 Definition: Symbol
§34.6 Definition: Symbol
►The symbol may be defined either in terms of symbols or equivalently in terms of symbols: ►
34.6.1
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34.6.2
►The symbol may also be written as a finite triple sum equivalent to a terminating generalized hypergeometric series of three variables with unit arguments.
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3: Richard B. Paris
4: Bibliography D
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The principal frequencies of vibrating systems with elliptic boundaries.
Quart. J. Mech. Appl. Math. 8 (3), pp. 361–372.
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Handbuch der Laplace-Transformation. Bd. II. Anwendungen der Laplace-Transformation. 1. Abteilung.
Birkhäuser Verlag, Basel und Stuttgart (German).
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Inequalities for extreme zeros of some classical orthogonal and -orthogonal polynomials.
Math. Model. Nat. Phenom. 8 (1), pp. 48–59.
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Lamé instantons.
J. High Energy Phys. 2000 (1), pp. Paper 19, 8.
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Uniform asymptotic expansions for Charlier polynomials.
J. Approx. Theory 112 (1), pp. 93–133.
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5: 27.2 Functions
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27.2.9
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►It is the special case of the function that counts the number of ways of expressing as the product of factors, with the order of factors taken into account.
…Note that .
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►Table 27.2.2 tabulates the Euler totient function , the divisor function (), and the sum of the divisors (), for .
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6: Bibliography T
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LSFBTR: A subroutine for calculating spherical Bessel transforms.
Comput. Phys. Comm. 30 (1), pp. 93–99.
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A set of algorithms for the incomplete gamma functions.
Probab. Engrg. Inform. Sci. 8, pp. 291–307.
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Bernoulli polynomials old and new: Generalizations and asymptotics.
CWI Quarterly 8 (1), pp. 47–66.
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The lemniscate constants.
Comm. ACM 18 (1), pp. 14–19.
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Hyperspherical elliptic harmonics and their relation to the Heun equation.
Phys. Rev. A 63 (032510), pp. 1–8.
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7: 26.10 Integer Partitions: Other Restrictions
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denotes the number of partitions of into distinct parts.
denotes the number of partitions of into at most distinct parts.
denotes the number of partitions of into parts with difference at least .
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►Note that , with strict inequality for .
It is known that for , , with strict inequality for sufficiently large, provided that , or ; see Yee (2004).
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8: 26.6 Other Lattice Path Numbers
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Delannoy Number
► is the number of paths from to that are composed of directed line segments of the form , , or . … ► … ►
26.6.4
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26.6.10
,
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9: Bibliography
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Tables of for Complex Argument.
Pergamon Press, New York.
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Supplement to a paper “On the intensity of light in the neighbourhood of a caustic”.
Trans. Camb. Phil. Soc. 8, pp. 595–599.
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Frequency response characteristics of the multiport planar elliptic patch.
IEEE Trans. Microwave Theory Tech. 40 (8), pp. 1726–1730.
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Algorithm 511: CDC 6600 subroutines IBESS and JBESS for Bessel functions and , ,
.
ACM Trans. Math. Software 3 (1), pp. 93–95.
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Algorithm 588. Fast Hankel transforms using related and lagged convolutions.
ACM Trans. Math. Software 8 (4), pp. 369–370.
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