elliptic umbilic canonical integral
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1—10 of 14 matching pages
1: 36.2 Catastrophes and Canonical Integrals
2: 36.3 Visualizations of Canonical Integrals
3: 36.10 Differential Equations
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►In terms of the normal forms (36.2.2) and (36.2.3), the satisfy the following operator equations
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36.10.13
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36.10.14
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36.10.17
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4: 36.1 Special Notation
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►The main functions covered in this chapter are cuspoid catastrophes ; umbilic catastrophes with codimension three , ; canonical integrals
, , ; diffraction catastrophes , , generated by the catastrophes.
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5: 36.7 Zeros
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§36.7(iii) Elliptic Umbilic Canonical Integral
… ►The zeros are lines in space where is undetermined. …Near , and for small and , the modulus has the symmetry of a lattice with a rhombohedral unit cell that has a mirror plane and an inverse threefold axis whose and repeat distances are given by …6: 36.8 Convergent Series Expansions
7: 36.9 Integral Identities
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36.9.9
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8: 36.11 Leading-Order Asymptotics
9: Errata
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Equation (36.10.14)
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36.10.14
Originally this equation appeared with in the second term, rather than .
Reported 2010-04-02.