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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=-39/8, b>=a > For fixed z and a=-39/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 31/8, 11/2, z] == (1/(45295154025 z^(9/2))) (1024 ((-Sqrt[z]) (180544 - 274040 z - 224471 z^2 - 471107 z^3 - 47559853 z^4 + 176262119 z^5 - 271624760 z^6 + 216801552 z^7 - 88963776 z^8 + 14927616 z^9) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((-722176 + 1592656 z + 203515 z^2 + 1205776 z^3 + 11910262 z^4 - 112220944 z^5 + 289951431 z^6 - 369838040 z^7 + 259417488 z^8 - 96427584 z^9 + 14927616 z^10) Sin[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