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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=3/4





http://functions.wolfram.com/07.23.03.abd9.01









  


  










Input Form





Hypergeometric2F1[-(15/4), 3/4, 5, z] == (4096 (-4 (7392 + 7392 Sqrt[z] - 60676 z - 60676 z^(3/2) + 224763 z^2 + 224763 z^(5/2) - 526218 z^3 - 526218 z^(7/2) - 161382 z^4 - 161382 z^(9/2) + 76284 z^5 + 76284 z^(11/2) - 21645 z^6 - 21645 z^(13/2) + 2730 z^7 + 2730 z^(15/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (29568 - 250096 z + 957649 z^2 - 2313696 z^3 + 2507622 z^4 - 1425372 z^5 + 651105 z^6 - 178620 z^7 + 21840 z^8) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(5492021535 Pi Sqrt[1 + Sqrt[z]] z^4)










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