Proves q-analogues of AGM functional equation identities and shows q-analogues of elliptic integral derivatives at k=1/2 are infinite products interpolating via complex s.
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On $q$-analogues Arising from Elliptic Integrals and the Arithmetic-Geometric Mean
Proves q-analogues of AGM functional equation identities and shows q-analogues of elliptic integral derivatives at k=1/2 are infinite products interpolating via complex s.