principle of the argument
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6 matching pages
1: 1.10 Functions of a Complex Variable
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Phase (or Argument) Principle
…2: 18.39 Applications in the Physical Sciences
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►which is the quantum superposition principle.
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► a) The Harmonic Oscillator
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►where is now the Bohr Principle Quantum Number.
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3: Bibliography F
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Theory and Computation of Spheroidal Harmonics with General Arguments.
Master’s Thesis, The University of Western Australia, Department of Physics.
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Tables of Weber Parabolic Cylinder Functions and Other Functions for Large Arguments.
National Physical Laboratory Mathematical Tables, Vol. 4.
Department of Scientific and Industrial Research, Her Majesty’s Stationery Office, London.
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Error bounds for the asymptotic expansion of the ratio of two gamma functions with complex argument.
SIAM J. Math. Anal. 23 (2), pp. 505–511.
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Principles and Techniques of Applied Mathematics.
Dover, New York.
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Fast computation of incomplete elliptic integral of first kind by half argument transformation.
Numer. Math. 116 (4), pp. 687–719.
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4: Bibliography
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Tables of for Complex Argument.
Pergamon Press, New York.
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Numerical evaluation of the Kummer function with complex argument by the trapezoidal rule.
Rend. Sem. Mat. Univ. Politec. Torino 49 (3), pp. 315–327.
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A subroutine package for Bessel functions of a complex argument and nonnegative order.
Technical Report
Technical Report SAND85-1018, Sandia National Laboratories, Albuquerque, NM.
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Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order.
ACM Trans. Math. Software 12 (3), pp. 265–273.
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Arb: A C Library for Arbitrary Precision Ball Arithmetic.
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5: Bibliography L
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Recurrence relations for hypergeometric functions of unit argument.
Math. Comp. 45 (172), pp. 521–535.
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Corrigenda: “Recurrence relations for hypergeometric functions of unit argument” [Math. Comp. 45 (1985), no. 172, 521–535; MR 86m:33004].
Math. Comp. 48 (178), pp. 853.
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Computations of spheroidal harmonics with complex arguments: A review with an algorithm.
Phys. Rev. E 58 (5), pp. 6792–6806.
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On Bessel functions of equal order and argument.
Rend. Sem. Mat. Univ. Politec. Torino 50 (2), pp. 209–216 (1993).
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The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity.
Methuen and Co., Ltd., London.
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6: Bibliography S
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Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments.
Comput. Phys. Comm. 115 (1), pp. 69–86.
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Principles of Atomic Spectra.
John Wiley & Sons Ltd., New York.
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Inequalities involving cylindrical functions of nearly equal argument and order.
Proc. Amer. Math. Soc. 5 (3), pp. 337–344.
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An inequality involving Bessel functions of argument nearly equal to their order.
Proc. Amer. Math. Soc. 4 (6), pp. 858–859.
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