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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`=7/2





http://functions.wolfram.com/07.22.03.8971.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, -(7/4)}, -z] == ((16 z (5719161735 + 6675812640 z - 5506583040 z^2 + 8618803200 z^3 + 2364493824 z^4 + 107347968 z^5 + 1048576 z^6) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (-6230890575 + 29850599520 z - 20369422080 z^2 + 13403013120 z^3 + 4544225280 z^4 + 212860928 z^5 + 2097152 z^6) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-93463358625 - 76236778800 z + 229491843840 z^2 - 159063367680 z^3 + 111167078400 z^4 + 36560240640 z^5 + 1704984576 z^6 + 16777216 z^7) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(53230362570 Sqrt[2] z^(5/4))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02