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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 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=-7/4





http://functions.wolfram.com/07.23.03.aad5.01









  


  










Input Form





Hypergeometric2F1[-(17/4), -(7/4), 9/2, -z] == (8 Sqrt[2] (-40 - 656 z - 6305 z^2 - 78309 z^3 + 530706 z^4 - 427834 z^5 + 40691 z^6 + 1855 z^7 + 84 z^8 + (1/Sqrt[1 + z]) (40 + 676 z + 6628 z^2 + 81382 z^3 - 240834 z^4 - 168256 z^5 + 147072 z^6 - 938 z^7 - 42 z^8)))/(4023459 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])










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