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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=-33/8





http://functions.wolfram.com/07.23.03.b68l.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(33/8), 9/2, -z] == -((256 (Sqrt[z] (-720 - 20001 z - 358515 z^2 - 74941529 z^3 + 467413089 z^4 - 754053495 z^5 + 388881703 z^6 - 58252755 z^7 + 1328763 z^8 + 12932 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + (960 + 26808 z + 481877 z^2 + 12853155 z^3 - 229248903 z^4 + 687404575 z^5 - 624336609 z^6 + 178826409 z^7 - 12315245 z^8 - 9699 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/(16730442001 z^(7/2) (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