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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=-9/8, b>=a > For fixed z and a=-9/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 43/8, -(9/2), z] == (1/71680) ((1/(1 - Sqrt[z])^(35/4)) (35840 - 313600 Sqrt[z] + 1263360 z - 3155600 z^(3/2) + 5568820 z^2 - 7455945 z^(5/2) + 7796348 z^3 - 6311200 z^(7/2) + 3790080 z^4 - 1568000 z^(9/2) + 394240 z^5 - 45056 z^(11/2)) + (1/(1 + Sqrt[z])^(35/4)) (35840 + 313600 Sqrt[z] + 1263360 z + 3155600 z^(3/2) + 5568820 z^2 + 7455945 z^(5/2) + 7796348 z^3 + 6311200 z^(7/2) + 3790080 z^4 + 1568000 z^(9/2) + 394240 z^5 + 45056 z^(11/2)))








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