large a (or b) and c
(0.007 seconds)
21—30 of 154 matching pages
21: Bibliography L
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βΊ
The solutions of the Mathieu equation with a complex variable and at least one parameter large.
Trans. Amer. Math. Soc. 36 (3), pp. 637–695.
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βΊ
A Numerical Library in C for Scientists and Engineers.
CRC Press, Boca Raton, FL.
βΊ
A Numerical Library in Java for Scientists & Engineers.
Chapman & Hall/CRC, Boca Raton, FL.
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βΊ
The confluent hypergeometric functions and for large
and
.
J. Comput. Appl. Math. 233 (6), pp. 1570–1576.
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βΊ
Asymptotic expansions of the Whittaker functions for large order parameter.
Methods Appl. Anal. 6 (2), pp. 249–256.
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22: Bibliography D
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βΊ
Bessel functions of purely imaginary order, with an application to second-order linear differential equations having a large parameter.
SIAM J. Math. Anal. 21 (4), pp. 995–1018.
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βΊ
Conical functions with one or both parameters large.
Proc. Roy. Soc. Edinburgh Sect. A 119 (3-4), pp. 311–327.
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βΊ
Uniform asymptotic expansions for associated Legendre functions of large order.
Proc. Roy. Soc. Edinburgh Sect. A 133 (4), pp. 807–827.
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23: 2.3 Integrals of a Real Variable
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βΊconverges for all sufficiently large
, and is infinitely differentiable in a neighborhood of the origin.
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βΊAlternatively, assume , is infinitely differentiable on , and each of the integrals , , converges as uniformly for all sufficiently large
.
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βΊWhen is real and is a large positive parameter, the main contribution to the integral
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βΊWhen the parameter is large the contributions from the real and imaginary parts of the integrand in
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βΊ
() and are positive constants, is a variable parameter in an interval with and , and is a large positive parameter.
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24: Bibliography T
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βΊ
Computational aspects of incomplete gamma functions with large complex parameters.
In Approximation and Computation. A Festschrift in Honor
of Walter Gautschi, R. V. M. Zahar (Ed.),
International Series of Numerical Mathematics, Vol. 119, pp. 551–562.
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βΊ
Atlas for Computing Mathematical Functions: An Illustrated Guide for Practitioners.
John Wiley & Sons Inc., New York.
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25: 27.16 Cryptography
26: 2.4 Contour Integrals
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βΊFor large
, the asymptotic expansion of may be obtained from (2.4.3) by Haar’s method. This depends on the availability of a comparison function for that has an inverse transform
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βΊin which is a large real or complex parameter, and are analytic functions of and continuous in and a second parameter .
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βΊFor large
, is approximated uniformly by the integral that corresponds to (2.4.19) when is replaced by a constant.
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27: 19.36 Methods of Computation
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βΊDescending Gauss transformations of (see (19.8.20)) are used in Fettis (1965) to compute a large table (see §19.37(iii)).
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28: Bibliography C
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βΊ
Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomial as the index and limiting formula relating Laguerre polynomials of large index and large argument to Hermite polynomials.
Lett. Nuovo Cimento (2) 23 (3), pp. 101–102.
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βΊ
On the representation of a large even integer as the sum of a prime and the product of at most two primes.
Kexue Tongbao (Foreign Lang. Ed.) 17, pp. 385–386.
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29: 2.11 Remainder Terms; Stokes Phenomenon
30: Bibliography G
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βΊ
GNU Scientific Library
The GNU Project.
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