Jacobi%20imaginary%20transformation
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4 matching pages
1: 20.7 Identities
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§20.7(iv) Reduction Formulas for Products
… ►§20.7(vi) Landen Transformations
… ►See Lawden (1989, pp. 19–20). … ►§20.7(viii) Transformations of Lattice Parameter
… ►§20.7(ix) Addendum to 20.7(iv) Reduction Formulas for Products
…2: 20.10 Integrals
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§20.10(i) Mellin Transforms with respect to the Lattice Parameter
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20.10.1
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20.10.2
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§20.10(ii) Laplace Transforms with respect to the Lattice Parameter
►Let , , and be constants such that , , and . …3: Bibliography B
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Pionic atoms.
Annual Review of Nuclear and Particle Science 20, pp. 467–508.
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A program for computing the Riemann zeta function for complex argument.
Comput. Phys. Comm. 20 (3), pp. 441–445.
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Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
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Some solutions of the problem of forced convection.
Philos. Mag. Series 7 20, pp. 322–343.
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Orthogonality relations for the associated Legendre functions of imaginary order.
Integral Transforms Spec. Funct. 24 (4), pp. 331–337.
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4: 20.11 Generalizations and Analogs
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►If both are positive, then allows inversion of its arguments as a modular transformation (compare (23.15.3) and (23.15.4)):
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►This is Jacobi’s inversion problem of §20.9(ii).
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►Each provides an extension of Jacobi’s inversion problem.
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►For , , and , define twelve combined theta functions
by
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