multiplication%20formulas
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6 matching pages
1: Bibliography K
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On formulas involving both the Bernoulli and Fibonacci numbers.
Scripta Math. 23, pp. 27–35.
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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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On the calculation of the multiple complex roots of the derivatives of cylindrical Bessel functions.
Zh. Vychisl. Mat. i Mat. Fiz. 27 (11), pp. 1628–1639, 1758.
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Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I.
Inverse Problems 20 (4), pp. 1165–1206.
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The addition formula for Laguerre polynomials.
SIAM J. Math. Anal. 8 (3), pp. 535–540.
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2: 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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Asymptotic expansion of a multiple integral.
SIAM J. Math. Anal. 18 (6), pp. 1630–1637.
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The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
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The -analogue of Stirling’s formula.
Rocky Mountain J. Math. 14 (2), pp. 403–413.
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On the evaluation of some multiple series.
J. London Math. Soc. (2) 33, pp. 368–371.
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3: Bibliography S
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Algorithm 786: Multiple-precision complex arithmetic and functions.
ACM Trans. Math. Software 24 (4), pp. 359–367.
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Efficient multiple-precision evaluation of elementary functions.
Math. Comp. 52 (185), pp. 131–134.
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Algorithm 693: A FORTRAN package for floating-point multiple-precision arithmetic.
ACM Trans. Math. Software 17 (2), pp. 273–283.
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Multiplicative processes and power laws.
Phys. Rev. E 57 (4), pp. 4811–4813.
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Approximate Calculation of Multiple Integrals.
Prentice-Hall Inc., Englewood Cliffs, N.J..
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4: Bibliography D
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Multiplicative Number Theory.
3rd edition, Graduate Texts in Mathematics, Vol. 74, Springer-Verlag, New York.
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On multiple zeros of Bernoulli polynomials.
Acta Arith. 134 (2), pp. 149–155.
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A simple sum formula for Clebsch-Gordan coefficients.
Lett. Math. Phys. 5 (3), pp. 207–211.
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Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
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Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
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5: Bibliography V
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Multiple Light Scattering.
Vol. 1, Academic Press, New York.
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Some Wonderful Formulas
an Introduction to Polylogarithms.
In Proceedings of the Queen’s Number Theory Conference, 1979
(Kingston, Ont., 1979), R. Ribenboim (Ed.),
Queen’s Papers in Pure and Appl. Math., Vol. 54, Kingston, Ont., pp. 269–286.
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Certain summation formulae for -series.
J. Indian Math. Soc. (N.S.) 47 (1-4), pp. 71–85 (1986).
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Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation.
Constr. Approx. 20 (1), pp. 39–54.
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6: Bibliography C
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A quadrature formula for the Hankel transform.
Numer. Algorithms 9 (2), pp. 343–354.
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Asymptotic estimates for generalized Stirling numbers.
Analysis (Munich) 20 (1), pp. 1–13.
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Approximations and Complex Multiplication According to Ramanujan.
In Ramanujan Revisited (Urbana-Champaign, Ill., 1987), G. E. Andrews, R. A. Askey, B. C. Bernd, K. G. Ramanathan, and R. A. Rankin (Eds.),
pp. 375–472.
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Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
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An encyclopaedia of cubature formulas.
J. Complexity 19 (3), pp. 445–453.
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