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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 8 and fixed z and a>0 > For fixed z and a=33/8, b>=a > For fixed z and a=33/8, b=43/8





http://functions.wolfram.com/07.23.03.cc73.01









  


  










Input Form





Hypergeometric2F1[33/8, 43/8, 2, z] == (16 2^(1/4) (2 Sqrt[1 - z] (95931 + 16360612 z + 48226098 z^2 + 17297604 z^3 + 21675 z^4) EllipticE[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + Sqrt[2 - 2 Sqrt[1 - z]] Sqrt[1 - z] (95931 + 16360612 z + 48226098 z^2 + 17297604 z^3 + 21675 z^4) EllipticE[ 2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - Sqrt[1 - z] (95931 + 16360612 z + 48226098 z^2 + 17297604 z^3 + 21675 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - (-1 + z) (-95931 - 5904133 z - 12007791 z^2 - 2535975 z^3 + 43350 z^4) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (83939625 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] (-1 + z)^8 z)










Standard Form





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MathML Form







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</math>










Rule Form





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





2007-05-02