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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=23/4





http://functions.wolfram.com/07.23.03.a7v4.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 11/2, -z] == (16 Sqrt[2] (-2576 + 9108 z - 37973 z^2 + 228551 z^3 - 3572199 z^4 - 39397179 z^5 - 129001860 z^6 - 205307856 z^7 - 175838208 z^8 - 78244608 z^9 - 14257152 z^10 + (1/Sqrt[1 + z]) (2576 - 7820 z + 33097 z^2 - 208265 z^3 + 3452507 z^4 + 57925113 z^5 + 254956968 z^6 + 548319096 z^7 + 665483520 z^8 + 467261184 z^9 + 177874944 z^10 + 28514304 z^11)))/(534734915 z^(9/2) 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