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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=7/2





http://functions.wolfram.com/07.22.03.aa20.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {7/2, 23/4}, z] == (19 (2 Sqrt[z] (1206079875 - 294053760 z + 5079110400 z^2 + 3882418176 z^3 + 5560139776 z^4 - 813694976 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 - (3618239625 + 4631346720 z + 9997827840 z^2 + 6185926656 z^3 + 5079760896 z^4 - 803209216 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-3618239625 + 3087564480 z + 7036533504 z^2 + 4985487360 z^3 + 5363269632 z^4 - 809500672 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(108452118528 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