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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 4 and fixed z > For fixed z and a=7/4, b>=a > For fixed z and a=7/4, b=13/4





http://functions.wolfram.com/07.23.03.aki4.01









  


  








Input Form





Hypergeometric2F1[7/4, 13/4, -(9/2), -z] == (1/(288 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((144 + 1532 z + 7661 z^2 + 24667 z^3 + 62970 z^4 + 916666 z^5 - 373687 z^6 - 1105 z^7)/(1 + z)^(19/2) + (144 + 1460 z + 6949 z^2 + 21366 z^3 + 53070 z^4 - 510964 z^5 + 76245 z^6 + 2210 z^7)/(1 + z)^9))








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