mathematical constants
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1: 3.12 Mathematical Constants
§3.12 Mathematical Constants
… ►For access to online high-precision numerical values of mathematical constants see Sloane (2003). …2: Bibliography F
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Mathematical Constants.
Encyclopedia of Mathematics and its Applications, Vol. 94, Cambridge University Press, Cambridge.
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3: 28.32 Mathematical Applications
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4: 12.17 Physical Applications
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►The main applications of PCFs in mathematical physics arise when solving the Helmholtz equation
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12.17.1
►where is a constant, and is the Laplacian
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12.17.4
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►with arbitrary constants
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5: Bibliography R
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Methods of Modern Mathematical Physics, Vol. 2, Fourier Analysis, Self-Adjointness.
Academic Press, New York.
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Methods of Modern Mathematical Physics, Vol. 4, Analysis of Operators.
Academic Press, New York.
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Methods of Modern Mathematical Physics, Vol. 3, Scattering Theory.
Academic Press, New York.
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Methods of Modern Mathematical Physics, Vol. 1, Functional Analysis.
Elsevier, New York.
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Principles of Mathematical Analysis.
3rd edition, McGraw-Hill Book Co., New York.
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6: Bibliography
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Solitons and the Inverse Scattering Transform.
SIAM Studies in Applied Mathematics, Vol. 4, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
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The mathematical physics of rainbows and glories.
Phys. Rep. 356 (4-5), pp. 229–365 (English).
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Lectures on Integral Transforms.
Translations of Mathematical Monographs, Vol. 70, American Mathematical Society, Providence, RI.
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Mathematical Methods for Physicists.
6th edition, Elsevier, Oxford.
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Mathematical Methods of Classical Mechanics.
Graduate Texts in Mathematics, Vol. 60, Springer-Verlag, New York.
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7: 31.16 Mathematical Applications
8: 8.22 Mathematical Applications
§8.22 Mathematical Applications
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8.22.1
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►The function , with and , has an intimate connection with the Riemann zeta function (§25.2(i)) on the critical line .
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8.22.2
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9: Bibliography M
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Siegel’s modular forms and Dirichlet series.
Lecture Notes in Mathematics, Vol. 216, Springer-Verlag, Berlin.
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Computational Algebra Group, School of Mathematics and Statistics, University of Sydney, Australia.
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Mathieu Functions and Spheroidal Functions and Their Mathematical Foundations: Further Studies.
Lecture Notes in Mathematics, Vol. 837, Springer-Verlag, Berlin-New York.
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Methods and Applications of Interval Analysis.
SIAM Studies in Applied Mathematics, Vol. 2, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
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Methods and Programs for Mathematical Functions.
Ellis Horwood Ltd., Chichester.
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