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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a7vi.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, -(19/4)}, z] == ((-4 z (7722036152956125 - 371028764106000 z + 40212985075200 z^2 + 61879516876800 z^3 + 8038463569920 z^4 + 461519192064 z^5 + 14797504512 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (12870060254926875 + 525624082483500 z + 55351610496000 z^2 + 34855443302400 z^3 + 4232950579200 z^4 + 237431685120 z^5 + 7516192768 z^6 + 134217728 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (-193050903823903125 - 25044441577155000 z - 944436854088000 z^2 + 385552597248000 z^3 + 273655026892800 z^4 + 33599913984000 z^5 + 1891526246400 z^6 + 59995324416 z^7 + 1073741824 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (98890184685600 Sqrt[2] z^(13/4))










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