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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`=-1/2





http://functions.wolfram.com/07.22.03.a9wo.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {-(1/2), 23/4}, z] == -((19 (2 Sqrt[z] (5065535475 + 4116752640 z - 254741760 z^2 + 53673984 z^3 - 69664768 z^4 - 50331648 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^ 2 - (15196606425 + 35506991520 z + 1695133440 z^2 + 120766464 z^3 - 72941568 z^4 - 39845888 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (15196606425 + 3087564480 z + 48432384 z^2 - 47480832 z^3 + 75694080 z^4 + 46137344 z^5 - 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (2617245696 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