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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-11/4, b>=a > For fixed z and a=-11/4, b=7/4





http://functions.wolfram.com/07.23.03.adbv.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 7/4, 6, -z] == (1/(16476064605 Pi z^5)) (16384 (1 + z)^(1/4) (2 (157696 + 963424 z + 2343495 z^2 + 2630397 z^3 + 525525 z^4 + 673335 z^5 + 312000 z^6 + 54600 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (157696 + 963424 z + 2343495 z^2 + 2630397 z^3 + 525525 z^4 + 673335 z^5 + 312000 z^6 + 54600 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-157696 - 845152 z - 1728111 z^2 - 1426425 z^3 + 375375 z^4 + 948285 z^5 + 542100 z^6 + 109200 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








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)





2007-05-02