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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=-41/8, b>=a > For fixed z and a=-41/8, b=3/8





http://functions.wolfram.com/07.23.03.b8zk.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, 23/4, z] == (16 2^(3/4) (920040 - 10427120 z + 55819245 z^2 - 195707145 z^3 + 5424672058 z^4 - 1261669122 z^5 + 521342577 z^6 - 160037589 z^7 + 30815568 z^8 - 2757888 z^9 + (1/Sqrt[1 - z]) (4 (-230010 + 2721785 z - 15229450 z^2 + 55592720 z^3 + 1026300567 z^4 - 1469469519 z^5 + 567382788 z^6 - 219020106 z^7 + 62089017 z^8 - 11057088 z^9 + 919296 z^10))))/(153941859981 (1 + Sqrt[1 - z])^(3/4) z^4)








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