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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 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=-7/3





http://functions.wolfram.com/07.23.03.4629.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(7/3), 9/2, z] == -((243 (Sqrt[z] (-1769472 + 38469632 z - 511049728 z^2 - 55078839475 z^3 - 76844091907 z^4 + 76919920238 z^5 + 54746755592 z^6 + 782428352 z^7 - 54213760 z^8 + 2390528 z^9) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (5308416 - 113836032 z + 1500119040 z^2 - 27441627136 z^3 - 258987729297 z^4 - 354345701754 z^5 - 94967389192 z^6 + 756217920 z^7 - 53018496 z^8 + 2390528 z^9) Sin[ArcSin[Sqrt[z]]/3]))/ (15641751950825 Sqrt[1 - z] z^(7/2)))










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