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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=45/8





http://functions.wolfram.com/07.23.03.b5qp.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, -(11/2), -z] == (1/(338415616 (1 + z)^(41/8))) ((338415616 - 309573376 z + 469407456 z^2 - 930010947 z^3 + 2450824278 z^4 - 9829176799 z^5 + 104285736984 z^6 + 981283258560 z^7 + 2443689025536 z^8 + 2752598638592 z^9 + 1484647825408 z^10 + 312949604352 z^11) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-84603904 + 103832064 z - 156739548 z^2 + 293595333 z^3 - 724032502 z^4 + 2718785641 z^5 + 139301899440 z^6 + 452846279424 z^7 + 586219831296 z^8 + 346712768512 z^9 + 78237401088 z^10) Sin[ArcTan[Sqrt[z]]/4])








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