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Elliptic integral of the second

E and fl are complete elliptic integrals of the second and third kind in the standard notation of Byrd and Friedman [101]. This completes the explicit form of the Gross-Kohn approximation (191). [Pg.118]

In this case, the elliptic integral of the second kind is converted to a complete integral ... [Pg.364]

When tp = tt/2, the integrals of the first and second types are considered as complete elliptic integrals. The complete elliptic integral of the second type, illustrated above as a function of k, is defined by... [Pg.383]

Ei and Ea are the complete elliptical integrals of the second kind. These are evaluated using the arguments 1 - b2yia2 and 1 - b2la2, respectively. In addition, 6,/a, is related to to and m by means of the following ... [Pg.419]

E(m) complete elliptic integral of the second kind with argument m, which is... [Pg.422]

The reduction of the smn (17) to the complete elliptic integral of the second kind is performed as follows. By using equation (10) and = cos we can rearrange equation (12) as... [Pg.361]

Here p2ia) is an elliptic integral of the second kind. Minimizing the free energy as in the previous sections for AS/3 j3=0 leads to... [Pg.1369]

See other pages where Elliptic integral of the second is mentioned: [Pg.429]    [Pg.509]    [Pg.7]    [Pg.530]    [Pg.94]    [Pg.509]    [Pg.100]    [Pg.222]    [Pg.259]    [Pg.557]    [Pg.198]    [Pg.31]    [Pg.146]    [Pg.147]    [Pg.364]    [Pg.469]    [Pg.267]    [Pg.190]    [Pg.383]    [Pg.569]    [Pg.352]    [Pg.361]    [Pg.279]    [Pg.275]    [Pg.230]    [Pg.77]    [Pg.78]    [Pg.2850]    [Pg.1044]    [Pg.42]    [Pg.219]    [Pg.169]    [Pg.1726]    [Pg.241]    [Pg.655]    [Pg.22]    [Pg.86]    [Pg.300]   


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Elliptic

Elliptic integrals

Ellipticity

Integrity of the

The Integral

The Second

The elliptic integral of second kind

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