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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.8566.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), 21/4}, z] == ((-2 Sqrt[z] (-42271993507217599125 + 50248365720611058000 z - 2439364404135859200 z^2 + 232255092245299200 z^3 + 466996943418163200 z^4 + 68361159243202560 z^5 + 4481889305886720 z^6 + 171279000797184 z^7 + 4239132721152 z^8 + 68719476736 z^9) BesselI[1/4, Sqrt[z]]^2 + 3 (-70453322512029331875 + 133847416654017066000 z + 11745087871765248000 z^2 + 792720570997555200 z^3 + 534957234300518400 z^4 + 72568431968256000 z^5 + 4638468042915840 z^6 + 175089710530560 z^7 + 4299262263296 z^8 + 68719476736 z^9) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-211359967536087995625 - 49359014114936526000 z - 1355202446742144000 z^2 + 669785295281356800 z^3 + 523325001056256000 z^4 + 71905616068608000 z^5 + 4614728617820160 z^6 + 174525996072960 z^7 + 4290672328704 z^8 + 68719476736 z^9) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(734820398058700800 Sqrt[2] z^(15/4))










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