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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=21/8





http://functions.wolfram.com/07.23.03.b6va.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 21/8, 9/2, z] == (1/(4838528695 z^(7/2))) (256 (Sqrt[z] (-772560 + 2411031 z + 991452 z^2 + 23487146 z^3 - 95995692 z^4 + 170531175 z^5 - 170271320 z^6 + 99645840 z^7 - 32101440 z^8 + 4417280 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((1030080 - 4094568 z + 1389535 z^2 - 4897172 z^3 + 57705322 z^4 - 165072052 z^5 + 245044895 z^6 - 216357640 z^7 + 115144400 z^8 - 34310080 z^9 + 4417280 z^10) Sin[(3 ArcSin[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