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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=17/4





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









  


  










Input Form





Hypergeometric2F1[7/4, 17/4, -(9/2), -z] == (1/(288 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(21/2)) (144 + 1732 z + 9961 z^2 + 37727 z^3 + 116820 z^4 + 2393906 z^5 - 1340927 z^6 - 9605 z^7 - 510 z^8) + (1/(1 + z)^10) (144 + 1660 z + 9149 z^2 + 33351 z^3 + 101190 z^4 - 1431374 z^5 + 330225 z^6 + 18955 z^7 + 1020 z^8)))










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