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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=5/2





http://functions.wolfram.com/07.22.03.8372.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {5/2, 19/4}, z] == ((2 Sqrt[z] (88268855227678125 - 143064326394990000 z + 2112950051372160000 z^2 + 28048124909939097600 z^3 - 20552364181949644800 z^4 + 3235548976172236800 z^5 - 169537332167311360 z^6 + 3438013946265600 z^7 - 27225797689344 z^8 + 68719476736 z^9) BesselI[-(1/4), Sqrt[z]]^2 - (264806565683034375 - 25678212429870000 z + 5399761242395520000 z^2 + 19116252200831385600 z^3 - 18778934441027174400 z^4 + 3135056933604556800 z^5 - 167433504848609280 z^6 + 3421113249955840 z^7 - 27182848016384 z^8 + 68719476736 z^9) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-264806565683034375 + 590598885887010000 z + 4804789049130470400 z^2 + 23917567755755520000 z^3 - 19803858581038694400 z^4 + 3194458780572057600 z^5 - 168688337257758720 z^6 + 3431234340388864 z^7 - 27208617820160 z^8 + 68719476736 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (39999920398663680000 Sqrt[2] z^(13/4))










Standard Form





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MathML Form







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/> <apply> <times /> <cn type='integer'> 39999920398663680000 </cn> <apply> <power /> <cn type='integer'> 2 </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