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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.bx7b.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 43/8, -(17/4), z] == (1209312 (1 + Sqrt[1 - z]) - 35568 (324 + 307 Sqrt[1 - z]) z + 1026 (47661 + 42487 Sqrt[1 - z]) z^2 - 57 (2117050 + 1757287 Sqrt[1 - z]) z^3 + 6384 (29217 + 22126 Sqrt[1 - z]) z^4 - 60436530 (2 + Sqrt[1 - z]) z^5 + 24310 (5359 + 1823 Sqrt[1 - z]) z^6 - 935 (87294 + 21361 Sqrt[1 - z]) z^7 + 56100 (579 + 92 Sqrt[1 - z]) z^8 - 21760 (347 + 27 Sqrt[1 - z]) z^9 + 783360 z^10)/ (1209312 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(19/2))








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