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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`=1/2





http://functions.wolfram.com/07.22.03.8850.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {1/2, 17/4}, z] == ((2 Sqrt[z] (-28584816685425 + 64676756944800 z + 1938790989273600 z^2 - 8261721241804800 z^3 + 6378649288704000 z^4 - 1089042294767616 z^5 + 55006552129536 z^6 - 913217421312 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]]^2 - 3 (-47641361142375 + 141672896164800 z - 183030822374400 z^2 - 3987448606310400 z^3 + 5501282992128000 z^4 - 1042231842570240 z^5 + 54213828673536 z^6 - 909459324928 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (142924083427125 - 120113977183200 z + 246387645504000 z^2 + 4404291978240000 z^3 - 5613365211955200 z^4 + 1048673381253120 z^5 - 54325866921984 z^6 + 909996195840 z^7 - 4294967296 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(2033194460774400 Sqrt[2] z^(11/4))










Standard Form





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MathML Form







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</apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 4 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02