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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=-17/4, b>=a > For fixed z and a=-17/4, b=15/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 15/4, 2, z] == (1/(765765 Pi z)) (8 ((-6630 + 674974 z - 4255616 z^2 + 9159680 z^3 - 8192000 z^4 + 2621440 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (3315 (1 + Sqrt[1 - z]) - (337487 + 145217 Sqrt[1 - z]) z + 64 (33247 + 9410 Sqrt[1 - z]) z^2 - 2560 (1789 + 308 Sqrt[1 - z]) z^3 + 163840 (25 + 2 Sqrt[1 - z]) z^4 - 1310720 z^5) EllipticK[(1/2) (1 - 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