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





http://functions.wolfram.com/07.23.03.ab0z.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(15/4), 3, z] == (1/(73523065 Pi z^2)) (64 (4 Sqrt[1 - z] (-770 + 25025 z + 1039328 z^2 + 2773022 z^3 + 1423402 z^4 + 114713 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 2 Sqrt[1 - z] (-770 + 25025 z + 1039328 z^2 + 2773022 z^3 + 1423402 z^4 + 114713 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (1540 - 51205 z + 256369 z^2 + 6642798 z^3 + 10921222 z^4 + 3559911 z^5 + 168245 z^6) 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