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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=-7/8, b>=a > For fixed z and a=-7/8, b=37/8





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









  


  










Input Form





Hypergeometric2F1[-(7/8), 37/8, -(15/4), z] == (1/(995280 2^(3/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(3/4) (-497640 + 2853136 z - 6113809 z^2 + 4552275 z^3 - 14063419 z^4 + 12110305 z^5 - 4907280 z^6 + 794880 z^7 + (1/Sqrt[1 - z]) (4 (-124410 + 775489 z - 1869543 z^2 + 1820910 z^3 + 5412636 z^4 - 8085903 z^5 + 5425125 z^6 - 1862080 z^7 + 264960 z^8))))










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