invariants
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11—20 of 38 matching pages
11: 23.16 Graphics
12: 23.17 Elementary Properties
13: 23.11 Integral Representations
14: 23.12 Asymptotic Approximations
15: 23.18 Modular Transformations
16: 23.8 Trigonometric Series and Products
17: 23.21 Physical Applications
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►The Weierstrass function plays a similar role for cubic potentials in canonical form .
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23.21.5
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18: 23.5 Special Lattices
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►The Weierstrass functions take real values on the real axis iff the lattice is fixed under complex conjugation: ; equivalently, when .
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►Also, and have opposite signs unless , in which event both are zero.
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and have the same sign unless when both are zero: the pseudo-lemniscatic case.
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►and the lattice roots and invariants are given by
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