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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=-23/4, b>=a > For fixed z and a=-23/4, b=3/4





http://functions.wolfram.com/07.23.03.9539.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 3/4, 9/2, -z] == (8 Sqrt[2] (-2 (8740 + 90022 z + 438748 z^2 + 1601605 z^3 + 779592 z^4 + 649660 z^5 + 385344 z^6 + 151361 z^7 + 35280 z^8 + 3696 z^9) + (1/Sqrt[1 + z]) (17480 + 188784 z + 965333 z^2 + 3620545 z^3 + 5507106 z^4 + 4987378 z^5 + 3720953 z^6 + 1987101 z^7 + 710360 z^8 + 152208 z^9 + 14784 z^10)))/(39126945 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])










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