analytical%20properties
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6 matching pages
1: 25.12 Polylogarithms
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§25.12(i) Dilogarithms
… ►For graphics see Figures 25.12.1 and 25.12.2, and for further properties see Maximon (2003), Kirillov (1995), Lewin (1981), Nielsen (1909), and Zagier (1989). … ►§25.12(ii) Polylogarithms
… ►For other values of , is defined by analytic continuation. … ►Further properties include …2: William P. Reinhardt
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►Reinhardt is a theoretical chemist and atomic physicist, who has always been interested in orthogonal polynomials and in the analyticity properties of the functions of mathematical physics.
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►Reinhardt firmly believes that the Mandelbrot set is a special function, and notes with interest that the natural boundaries of analyticity of many “more normal” special functions are also fractals.
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►In November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.
3: 25.11 Hurwitz Zeta Function
§25.11 Hurwitz Zeta Function
… ►As a function of , with () fixed, is analytic in the half-plane . … ► … ►
25.11.30
, ,
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4: Bibliography S
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Use of analyticity in the calculation of nonrelativistic scattering amplitudes.
Phys. Rev. 167, pp. 1411–1423.
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Some properties of polynomial sets of type zero.
Duke Math. J. 5, pp. 590–622.
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Staudt and arithmetical properties of Bernoulli numbers.
Historia Sci. (2) 5 (1), pp. 69–74.
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Some combinatorial properties of Jack symmetric functions.
Adv. Math. 77 (1), pp. 76–115.
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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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5: Bibliography R
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Congruence properties of partitions.
Math. Z. 9 (1-2), pp. 147–153.
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Some properties of Bernoulli’s numbers (J. Indian Math. Soc. 3 (1911), 219–234.).
In Collected Papers,
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On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
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Universality properties of Gaussian quadrature, the derivative rule, and a novel approach to Stieltjes inversion.
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An extremum property of the -dimensional sphere.
J. Phys. A 13 (10), pp. L349–L351.
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6: Bibliography B
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Pionic atoms.
Annual Review of Nuclear and Particle Science 20, pp. 467–508.
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Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
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Some solutions of the problem of forced convection.
Philos. Mag. Series 7 20, pp. 322–343.
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Integrable Hamiltonian systems and the Painlevé property.
Phys. Rev. A (3) 25 (3), pp. 1257–1264.
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An analytic continuation of the hypergeometric series.
SIAM J. Math. Anal. 18 (3), pp. 884–889.
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