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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=37/8





http://functions.wolfram.com/07.23.03.cc1g.01









  


  








Input Form





Hypergeometric2F1[33/8, 37/8, -(23/4), z] == (1/(811072 2^(3/4) (-1 + z)^14)) ((1 + Sqrt[1 - z])^(3/4) (-2 (-202768 + 3473504 z - 29271643 z^2 + 165664443 z^3 - 743493387 z^4 + 3161652819 z^5 + 431184667959 z^6 + 579646118169 z^7 + 165803723199 z^8 + 8533897209 z^9) + (1/Sqrt[1 - z]) (405536 - 7149776 z + 61966098 z^2 - 359757499 z^3 + 1645751653 z^4 - 7028781591 z^5 + 942142110285 z^6 + 1568082805935 z^7 + 606794194719 z^8 + 55374510387 z^9 + 563889597 z^10)))








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