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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=-29/8, b>=a > For fixed z and a=-29/8, b=31/8





http://functions.wolfram.com/07.23.03.bh0i.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 31/8, -(9/2), z] == (1/2119680) ((1/(1 - Sqrt[z])^(19/4)) (1059840 - 5034240 Sqrt[z] + 12747520 z - 24367120 z^(3/2) + 39298260 z^2 - 56305265 z^(5/2) + 73356752 z^3 - 87721632 z^(7/2) + 95606400 z^4 - 92294400 z^(9/2) + 69949440 z^5 - 33386496 z^(11/2) + 7028736 z^6) + (1/(1 + Sqrt[z])^(19/4)) (1059840 + 5034240 Sqrt[z] + 12747520 z + 24367120 z^(3/2) + 39298260 z^2 + 56305265 z^(5/2) + 73356752 z^3 + 87721632 z^(7/2) + 95606400 z^4 + 92294400 z^(9/2) + 69949440 z^5 + 33386496 z^(11/2) + 7028736 z^6))








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