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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=11/4





http://functions.wolfram.com/07.23.03.9793.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 11/4, 9/2, -z] == (8 Sqrt[2] (-4 (4370 + 12673 z - 6992 z^2 + 48944 z^3 + 277612 z^4 + 565219 z^5 + 616026 z^6 + 384612 z^7 + 130416 z^8 + 18720 z^9) + (1/Sqrt[1 + z]) (17480 + 59432 z - 4807 z^2 + 176548 z^3 + 1881254 z^4 + 5382020 z^5 + 8055281 z^6 + 7175352 z^7 + 3850032 z^8 + 1155648 z^9 + 149760 z^10)))/(10670985 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