Geodesic
Cubic Analogues of the Jacobian Theta Function θ(z, q)
Canadian journal of mathematics, Tome 45 (1993) no. 4, pp. 673-694

Voir la notice de l'article provenant de la source Cambridge University Press

There are three modular forms a(q), b(q), c(q) involved in the parametrization of the hypergeometric function analogous to the classical θ2(q), θ3(q), θ4(q) and the hypergeometric function We give elliptic function generalizations of a(q), b(q), c(q) analogous to the classical theta-function θ(z, q). A number of identities are proved. The proofs are self-contained, relying on nothing more than the Jacobi triple product identity
DOI : 10.4153/CJM-1993-038-2
Mots-clés : 33D10, 05A19, 11B65, 11F27, 33C05 
Hirschhorn, Michael; Garvan, Frank; Borwein, Jon. Cubic Analogues of the Jacobian Theta Function θ(z, q). Canadian journal of mathematics, Tome 45 (1993) no. 4, pp. 673-694. doi: 10.4153/CJM-1993-038-2
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