Whittaker–Hill equation
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9 matching pages
1: 28.32 Mathematical Applications
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§28.32(ii) Paraboloidal Coordinates
… ►is separated in this system, each of the separated equations can be reduced to the Whittaker–Hill equation (28.31.1), in which are separation constants. …2: Bibliography U
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Theory of the Whittaker-Hill equation.
Proc. Roy. Soc. Edinburgh Sect. A 69, pp. 28–44.
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3: 28.31 Equations of Whittaker–Hill and Ince
§28.31 Equations of Whittaker–Hill and Ince
►§28.31(i) Whittaker–Hill Equation
… ►and constant values of , and , is called the Equation of Whittaker–Hill. …4: 28.34 Methods of Computation
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(f)
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5: Bibliography
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The Whittaker-Hill equation and the wave equation in paraboloidal co-ordinates.
Proc. Roy. Soc. Edinburgh Sect. A 67, pp. 265–276.
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6: Bibliography W
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Hill’s equation with a large potential.
SIAM J. Appl. Math. 45 (2), pp. 200–214.
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Asymptotic behavior of stability regions for Hill’s equation.
SIAM J. Appl. Math. 47 (5), pp. 941–958.
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Computation of the Whittaker function of the second kind by summing its divergent asymptotic series with the help of nonlinear sequence transformations.
Computers in Physics 10 (5), pp. 496–503.
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On the functions associated with the parabolic cylinder in harmonic analysis.
Proc. London Math. Soc. 35, pp. 417–427.
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies.
4th edition, Cambridge University Press, Cambridge.
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7: Bibliography S
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Introductory Complex Analysis.
Prentice-Hall, Inc., Englewood Cliffs, N.J..
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Differential Equations with Applications and Historical Notes.
McGraw-Hill Book Co., New York.
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Représentation asymptotique de la solution générale de l’équation de Mathieu-Hill.
Acad. Roy. Belg. Bull. Cl. Sci. (5) 51 (11), pp. 1415–1446.
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Microwave Transmission.
McGraw-Hill Book Co., New York.
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The Use of Integral Transforms.
McGraw-Hill, New York.
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8: Software Index
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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13.32(ii) , , , , , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | a | ||||||||||||
13.32(iii) , , , , , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | a | |||||||||||||||||
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28 Mathieu Functions and Hill’s Equation | |||||||||||||||||||||||||
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9: Bibliography R
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Diffraction of plane radio waves by a parabolic cylinder. Calculation of shadows behind hills.
Bell System Tech. J. 33, pp. 417–504.
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Real and complex analysis.
McGraw-Hill Book Co., New York-Toronto, Ont.-London.
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Functional Analysis.
McGraw-Hill Book Co., New York.
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Principles of Mathematical Analysis.
3rd edition, McGraw-Hill Book Co., New York.
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On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media.
In Differential Operators and Related Topics, Vol. I (Odessa,
1997),
Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.
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