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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=-9/4, b>=a > For fixed z and a=-9/4, b=-9/4





http://functions.wolfram.com/07.23.03.ae15.01









  


  










Input Form





Hypergeometric2F1[-(9/4), -(9/4), 4, -z] == (256 Sqrt[2] ((-480 - 6585 z - 59340 z^2 + 1824194 z^3 - 1771100 z^4 + 195311 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (-480 - 6585 z - 59340 z^2 + 1824194 z^3 - 1771100 z^4 + 195311 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-480 - 6465 z - 57780 z^2 + 996554 z^3 - 803956 z^4 + 69615 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-480 - 6585 z - 59340 z^2 + 1824194 z^3 - 1771100 z^4 + 195311 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (107694405 Pi z^3 Sqrt[1 + Sqrt[1 + z]])










Standard Form





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MathML Form







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</cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02