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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=1/2





http://functions.wolfram.com/07.22.03.a860.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {1/2, 23/4}, z] == (19 (2 Sqrt[z] (-23283371986875 - 14191769592000 z + 3175780608000 z^2 - 564583219200 z^3 + 18594584985600 z^4 - 50459679129600 z^5 + 10392478679040 z^6 - 445602856960 z^7 + 4294967296 z^8) BesselI[-(1/4), Sqrt[z]]^2 + (69850115960625 + 149013580716000 z - 19848628800000 z^2 + 7621873459200 z^3 + 44662888857600 z^5 - 10121191096320 z^6 + 442918502400 z^7 - 4294967296 z^8) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (69850115960625 + 2858202547200 z^2 - 3387499315200 z^3 + 9299017728000 z^4 - 48027716812800 z^5 + 10282755686400 z^6 - 444529115136 z^7 + 4294967296 z^8) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(780855253401600 Sqrt[2] z^(17/4))










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