elliptical coordinates
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11—17 of 17 matching pages
11: Bibliography P
12: 19.26 Addition Theorems
13: Bibliography H
14: 36.6 Scaling Relations
15: 36.7 Zeros
§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 …There are also three sets of zero lines in the plane related by rotation; these are zeros of (36.2.20), whose asymptotic form in polar coordinates is given by …16: Errata
Originally, a factor of was missing from the terms containing the .
Reported by Fred Hucht on 2020-08-06
Originally a minus sign was missing in the entries for and in the second column (headed ). The correct entries are and . Note: These entries appear online but not in the published print edition. More specifically, Table 22.4.3 in the published print edition is restricted to the three Jacobian elliptic functions , whereas Table 22.4.3 covers all 12 Jacobian elliptic functions.
Reported 2014-02-28 by Svante Janson.
Originally the term was given incorrectly as .
Reported 2014-02-28 by Svante Janson.
Originally the limiting form for in the last line of this table was incorrect (, instead of ).
Reported 2010-11-23.
Originally this equation appeared with in the second term, rather than .
Reported 2010-04-02.