A generalization of Baker's quadratic formulae for hyperelliptic \(\wp\)-functions

DOI10.1016/j.physleta.2011.05.056zbMath1250.33018OpenAlexW1969972375MaRDI QIDQ715406

Chris Athorne

Publication date: 29 October 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.05.056

Mathematics Subject Classification ID

Elliptic integrals as hypergeometric functions (33C75)

Related Items (2)

Generalised elliptic functions ⋮ On the equivariant algebraic Jacobian for curves of genus two

Cites Work

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• Real two-zone solutions of the sine-Gordon equation
• On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
• Identities for hyperelliptic ℘-functions of genus one, two and three in covariant form
• Abelian functions associated with a cyclic tetragonal curve of genus six
• A genus six cyclic tetragonal reduction of the Benney equations
• Some hyperelliptic function identities that occur in the chiral Potts model
• Abelian functions associated with genus three algebraic curves

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