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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9920.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 15/4, 4, z] == (1/(985747455 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((-(13984 + 13984 Sqrt[z] + 48507 z + 48507 z^(3/2) + 321195 z^2 + 321195 z^(5/2) - 6394479 z^3 - 6394479 z^(7/2) + 22833153 z^4 + 22833153 z^(9/2) - 37178568 z^5 - 37178568 z^(11/2) + 31916976 z^6 + 31916976 z^(13/2) - 14114880 z^7 - 14114880 z^(15/2) + 2545920 z^8 + 2545920 z^(17/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (13984 + 45011 z + 308085 z^2 + 1222431 z^3 - 18551001 z^4 + 58480002 z^5 - 87426192 z^6 + 70318560 z^7 - 29502720 z^8 + 5091840 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