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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=-1/8, b>=a > For fixed z and a=-1/8, b=43/8





http://functions.wolfram.com/07.23.03.bx7l.01









  


  










Input Form





Hypergeometric2F1[-(1/8), 43/8, -(9/4), z] == (-225720 + 1554960 z - 4389627 z^2 + 3357585 z^3 - 3703433 z^4 + 2335307 z^5 - 803760 z^6 + 117504 z^7 - (1/Sqrt[1 - z]) (4 (56430 - 416955 z + 1284723 z^2 - 1343034 z^3 + 2151928 z^4 - 1891131 z^5 + 1005975 z^6 - 301376 z^7 + 39168 z^8)))/ (225720 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^7)










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