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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=-5/8, b>=a > For fixed z and a=-5/8, b=39/8





http://functions.wolfram.com/07.23.03.bv4w.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 39/8, -(17/4), z] == (1/(1163616 2^(1/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(1/4) (581808 - 4200996 z + 12562347 z^2 - 18871684 z^3 + 10131730 z^4 - 15509664 z^5 + 10096843 z^6 - 3368176 z^7 + 467712 z^8 + (1/Sqrt[1 - z]) (581808 - 4491900 z + 14590119 z^2 - 24664096 z^3 + 18237114 z^4 + 80352736 z^5 - 88773785 z^6 + 49496388 z^7 - 14758912 z^8 + 1870848 z^9)))








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