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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=-13/4





http://functions.wolfram.com/07.23.03.aa9k.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(13/4), 3, z] == (1/(7309575 Pi z^2)) (64 (2 (-156 + 5109 z + 562215 z^2 + 2107570 z^3 + 1589650 z^4 + 229129 z^5 + 819 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 2 Sqrt[1 - z] (-78 + 2535 z + 167520 z^2 + 548690 z^3 + 361510 z^4 + 43407 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-156 + 5109 z + 562215 z^2 + 2107570 z^3 + 1589650 z^4 + 229129 z^5 + 819 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