Expansion of K(k) * (2 * E(k) - K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).

A143336

Expansion of K(k) * (2 * E(k) - K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).

Terms

    a(0) =1a(1) =-8a(2) =-8a(3) =-32a(4) =-40a(5) =-48a(6) =-32a(7) =-64a(8) =-104a(9) =-104a(10) =-48a(11) =-96a(12) =-160a(13) =-112a(14) =-64a(15) =-192a(16) =-232a(17) =-144a(18) =-104a(19) =-160a(20) =-240a(21) =-256a(22) =-96a(23) =-192a(24) =-416a(25) =-248a(26) =-112a(27) =-320a(28) =-320a(29) =-240

External references