biharmonic operator
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1: 3.4 Differentiation
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Biharmonic Operator
… ►Those for the Laplacian and the biharmonic operator follow from the formulas for the partial derivatives. …2: 25.17 Physical Applications
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►This relates to a suggestion of Hilbert and Pólya that the zeros are eigenvalues of some operator, and the Riemann hypothesis is true if that operator is Hermitian.
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3: 18.42 Software
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►Also included is a website (CAOP) operated by a university department.
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4: 26.19 Mathematical Applications
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►These have applications in operations research, probability theory, and statistics.
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5: Brian R. Judd
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►Judd’s books include Operator Techniques in Atomic Spectroscopy, published by McGrawHill in 1963 and reprinted by Princeton University Press in 1998, Second
Quantization and Atomic Spectroscopy, published by Johns Hopkins in 1967, Topics in Atomic and Nuclear Theory (with J.
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6: 13.27 Mathematical Applications
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►Vilenkin (1968, Chapter 8) constructs irreducible representations of this group, in which the diagonal matrices correspond to operators of multiplication by an exponential function.
The other group elements correspond to integral operators whose kernels can be expressed in terms of Whittaker functions.
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7: 26.22 Software
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►Also included are websites operated by university departments and consortia, research institutions, and peerreviewed journals.
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8: 34.9 Graphical Method
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►The graphical method establishes a onetoone correspondence between an analytic expression and a diagram by assigning a graphical symbol to each function and operation of the analytic expression.
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9: Guide to Searching the DLMF
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10: About MathML
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