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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=-37/8, b>=a > For fixed z and a=-37/8, b=31/8





http://functions.wolfram.com/07.23.03.bc2m.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 31/8, 11/2, z] == (1/(42802369225 z^(9/2))) (512 ((1 + Sqrt[z])^(25/4) (-1922816 + 12017600 Sqrt[z] - 40430640 z + 100218200 z^(3/2) - 204143615 z^2 + 360785520 z^(5/2) - 566028960 z^3 + 793161600 z^(7/2) - 951793920 z^4 + 880281600 z^(9/2) - 552431616 z^5 + 202752000 z^(11/2) - 32440320 z^6) + (1 - Sqrt[z])^(25/4) (1922816 + 12017600 Sqrt[z] + 40430640 z + 100218200 z^(3/2) + 204143615 z^2 + 360785520 z^(5/2) + 566028960 z^3 + 793161600 z^(7/2) + 951793920 z^4 + 880281600 z^(9/2) + 552431616 z^5 + 202752000 z^(11/2) + 32440320 z^6)))








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