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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 3 and fixed z > For fixed z and a=10/3, b>=a > For fixed z and a=10/3, b=17/3





http://functions.wolfram.com/07.23.03.8629.01









  


  








Input Form





Hypergeometric2F1[10/3, 17/3, -(11/2), -z] == ((49662885888 + 893430300672 z + 7929928581120 z^2 + 47439284568064 z^3 + 226462085775360 z^4 + 1046140006596608 z^5 + 8205106380111872 z^6 - 38038422929424825 z^7 + 26681038849894696 z^8 - 3713943372094160 z^9 - 11562105075456 z^10 - 296464232704 z^11) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (16554295296 + 286160781312 z + 2443208785920 z^2 + 14115162947584 z^3 + 65731833266176 z^4 + 303456885473280 z^5 - 10618552140612907 z^6 + 11950669955022080 z^7 - 2425732164937104 z^8 + 11413872959104 z^9 + 296464232704 z^10) Sinh[ArcSinh[Sqrt[z]]/3])/ (49662885888 (1 + z)^(29/2))








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