reciprocal-modulus transformation
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21—30 of 169 matching pages
21: Vadim B. Kuznetsov
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►Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics.
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22: 1.16 Distributions
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§1.16(vii) Fourier Transforms of Tempered Distributions
… ►Then its Fourier transform is … ►If is a tempered distribution, then its Fourier transform is defined by …The Fourier transform of a tempered distribution is again a tempered distribution, and … ►§1.16(viii) Fourier Transforms of Special Distributions
…23: 6.14 Integrals
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§6.14(i) Laplace Transforms
…24: 23.18 Modular Transformations
25: Mark J. Ablowitz
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►for appropriate data they can be linearized by the Inverse Scattering Transform (IST) and they possess solitons as special solutions.
…Some of the relationships between IST and Painlevé equations are discussed in two books: Solitons and the Inverse Scattering Transform and Solitons, Nonlinear Evolution Equations and Inverse Scattering.
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26: 13.23 Integrals
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§13.23(i) Laplace and Mellin Transforms
… ►§13.23(ii) Fourier Transforms
… ►§13.23(iii) Hankel Transforms
… ► ►§13.23(iv) Integral Transforms in terms of Whittaker Functions
…27: 22.17 Moduli Outside the Interval [0,1]
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§22.17(ii) Complex Moduli
… ►In particular, the Landen transformations in §§22.7(i) and 22.7(ii) are valid for all complex values of , irrespective of which values of and are chosen—as long as they are used consistently. …28: 13.10 Integrals
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§13.10(ii) Laplace Transforms
… ►§13.10(iii) Mellin Transforms
… ►§13.10(iv) Fourier Transforms
… ►§13.10(v) Hankel Transforms
… ► …29: 10.74 Methods of Computation
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