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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=-45/8, b>=a > For fixed z and a=-45/8, b=-17/8





http://functions.wolfram.com/07.23.03.b6e5.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(17/8), 11/2, -z] == -((1024 (2 Sqrt[z] (-672 - 12844 z - 131553 z^2 - 1097406 z^3 - 80493439 z^4 + 230273004 z^5 - 132586479 z^6 + 10722642 z^7 + 547119 z^8 + 38796 z^9 + 1696 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + (1792 + 34512 z + 355743 z^2 + 2976459 z^3 + 38289447 z^4 - 340454517 z^5 + 423818837 z^6 - 106022727 z^7 - 812331 z^8 - 57823 z^9 - 2544 z^10) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (135763422795 z^(9/2) (1 + z)^(3/8)))








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