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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=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, 5, z] == (1/(431548425 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 (4 (-32 - 32 Sqrt[z] - 132 z - 132 z^(3/2) - 525 z^2 - 525 z^(5/2) - 3066 z^3 - 3066 z^(7/2) + 37980 z^4 + 37980 z^(9/2) - 65520 z^5 - 65520 z^(11/2) + 31200 z^6 + 31200 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-128 - 496 z - 1959 z^2 - 11697 z^3 - 55560 z^4 + 406800 z^5 - 586560 z^6 + 249600 z^7) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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