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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.abod.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 6, z] == (1/(985747455 Pi Sqrt[1 + Sqrt[z]] z^5)) (16384 ((-(6144 + 6144 Sqrt[z] - 15648 z - 15648 z^(3/2) + 2905 z^2 + 2905 z^(5/2) + 4305 z^3 + 4305 z^(7/2) + 12075 z^4 + 12075 z^(9/2) - 73437 z^5 - 73437 z^(11/2) + 101304 z^6 + 101304 z^(13/2) - 58320 z^7 - 58320 z^(15/2) + 12480 z^8 + 12480 z^(17/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (6144 - 17184 z + 6385 z^2 + 4445 z^3 + 11235 z^4 + 43743 z^5 - 185808 z^6 + 228960 z^7 - 122880 z^8 + 24960 z^9) 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