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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/07.22.03.9074.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {11/2, 1/4}, z] == ((4 z (-8243468230725 + 3571399868400 z + 25798830220800 z^2 - 159361916313600 z^3 + 133793702138880 z^4 - 21770233970688 z^5 + 1016106319872 z^6 - 15502147584 z^7 + 67108864 z^8) BesselI[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (-13739113717875 + 4731078561300 z - 2564081956800 z^2 - 34398440294400 z^3 + 58074170918400 z^4 - 10451795558400 z^5 + 501320515584 z^6 - 7721713664 z^7 + 33554432 z^8) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (-206086705768125 + 52647360129000 z - 31526840217600 z^2 + 33951981772800 z^3 + 310925338214400 z^4 - 473684566118400 z^5 + 84092847390720 z^6 - 4018183077888 z^7 + 61807263744 z^8 - 268435456 z^9) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (55359577072800 Sqrt[2] z^(13/4))










Standard Form





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MathML Form







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</cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 13 <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