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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=-7/2, b>=a > For fixed z and a=-7/2, b=-13/4





http://functions.wolfram.com/07.23.03.abx1.01









  


  








Input Form





Hypergeometric2F1[-(7/2), -(13/4), 1, z] == (1/(16380 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]])) (2 (1 + Sqrt[1 - z]) (145856 + 1185944 z + 1228424 z^2 + 165345 z^3) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] - (16 (9116 + 9116 (1 - z)^(1/4) + 9116 Sqrt[1 - z] + 5021 (1 - z)^(3/4)) + 8 (148243 + 148243 (1 - z)^(1/4) + 148243 Sqrt[1 - z] + 59079 (1 - z)^(3/4)) z + 4 (307106 + 307106 (1 - z)^(1/4) + 307106 Sqrt[1 - z] + 83185 (1 - z)^(3/4)) z^2 + 15 (11023 + 11023 (1 - z)^(1/4) + 11023 Sqrt[1 - z] + 1521 (1 - z)^(3/4)) z^3) EllipticK[ 1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])])








Standard Form





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MathML Form







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type='integer'> 1 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02