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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`=-3/2





http://functions.wolfram.com/07.22.03.8758.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(3/2), 21/4}, z] == ((2 Sqrt[z] (8546860188942075 - 11942101193022000 z + 3252316920652800 z^2 + 1530875829288960 z^3 - 1440451227156480 z^4 - 557261996949504 z^5 - 2007915665817600 z^6 + 304090127007744 z^7 - 9470402887680 z^8 + 68719476736 z^9) BesselI[1/4, Sqrt[z]]^2 - 3 (14244766981570125 - 30033114064153200 z + 4336422560870400 z^2 - 2477955749068800 z^3 - 3481618999541760 z^4 - 1922292944732160 z^5 - 1755370179526656 z^6 + 295904993083392 z^7 - 9410273345536 z^8 + 68719476736 z^9) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-42734300944710375 - 1067166489589200 z - 1393850108851200 z^2 + 1802149635686400 z^3 + 3119920591011840 z^4 + 1790752378060800 z^5 + 1788963333341184 z^6 - 297054970576896 z^7 + 9418863280128 z^8 - 68719476736 z^9) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(3061751658577920 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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<power /> <apply> <times /> <cn type='integer'> 3061751658577920 </cn> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <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