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JacobiZeta




Mathematica Notation

Traditional Notation









Elliptic Integrals > JacobiZeta[z,m] > Series representations > Generalized power series > Expansions at m==0





http://functions.wolfram.com/08.07.06.0006.01









  


  








Input Form





JacobiZeta[z, m] == EllipticE[m] - Cos[z] (HypergeometricPFQ[{{1/2}, {-(1/2), 1/2}, {1/2, 1}}, {{1, 3/2}, {}, {}}, (-m) Cos[z]^2, Cos[z]^2] - (m/2) HypergeometricPFQ[{{1/2, 3/2}, {1/2}, {1}}, {{2}, {3/2}, {3/2}}, (-m) Cos[z]^2, m]) - (EllipticE[m]/EllipticK[m]) Sin[z] HypergeometricPFQ[{{1/2}, {1/2}, {1/2}}, {{3/2}, {}, {}}, m Sin[z]^2, Sin[z]^2]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29