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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-21/4





http://functions.wolfram.com/07.22.03.7695.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(21/4), 9/4}, -z] == (1/(1283143680 z^(5/4))) (2 z^(1/4) (468242775 - 914434920 z - 45902880 z^2 + 87010560 z^3 + 8970240 z^4 + 557056 z^5) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((468242775 - 2305195200 z + 2095632000 z^2 + 681246720 z^3 - 21081600 z^4 - 6242304 z^5 + 131072 z^6) Cos[2 Sqrt[z]] + 6 Sqrt[z] (156080925 - 560290500 z + 6985440 z^2 + 58322880 z^3 + 5785600 z^4 + 376832 z^5) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (-6 Sqrt[z] (156080925 - 560290500 z + 6985440 z^2 + 58322880 z^3 + 5785600 z^4 + 376832 z^5) Cos[2 Sqrt[z]] + (468242775 - 2305195200 z + 2095632000 z^2 + 681246720 z^3 - 21081600 z^4 - 6242304 z^5 + 131072 z^6) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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/> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02