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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=17/8, b>=a > For fixed z and a=17/8, b=37/8





http://functions.wolfram.com/07.23.03.c6jr.01









  


  










Input Form





Hypergeometric2F1[17/8, 37/8, -(23/4), z] == (1/(811072 2^(3/4) (-1 + z)^12)) ((1 + Sqrt[1 - z])^(3/4) (2 (202768 - 2741776 z + 17679531 z^2 - 73560588 z^3 + 230239149 z^4 - 636144174 z^5 - 31837186107 z^6 - 14395189968 z^7 - 44335053 z^8 + 1809594 z^9) + (1/Sqrt[1 - z]) (405536 - 5686320 z + 38050146 z^2 - 164140609 z^3 + 529945884 z^4 - 1486144179 z^5 + 73415065170 z^6 + 49416800697 z^7 + 3011164416 z^8 - 122348661 z^9 + 4825584 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