Bailey%20pairs
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11—20 of 183 matching pages
11: 5.24 Software
12: 17.8 Special Cases of Functions
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Bailey’s Bilateral Summations
…13: Bibliography M
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Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
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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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Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems.
Proc. Nat. Acad. Sci. U .S. A. 96 (20), pp. 11085–11089.
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The and
Bailey transform and lemma.
Bull. Amer. Math. Soc. (N.S.) 26 (2), pp. 258–263.
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The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
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14: 3.8 Nonlinear Equations
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βΊLet be an approximation to the real quadratic factor of that corresponds to a pair of conjugate complex zeros or to a pair of real zeros.
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3.8.15
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βΊConsider and .
We have and .
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3.8.16
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15: 16.6 Transformations of Variable
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16: 17.1 Special Notation
17: Bibliography S
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Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
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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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An elliptic incarnation of the Bailey chain.
Int. Math. Res. Not. 2002 (37), pp. 1945–1977.
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A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
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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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18: 17.10 Transformations of Functions
19: 36.5 Stokes Sets
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36.5.4
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36.5.7
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βΊThey generate a pair of cusp-edged sheets connected to the cusped sheets of the swallowtail bifurcation set (§36.4).
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