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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > General characteristics > Branch points > With respect to z





http://functions.wolfram.com/07.27.04.0013.01









  


  








Input Form





RamificationIndex[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z], z, 1] == Log /; Element[Subscript[\[Psi], 2], Integers] || ( !Element[Subscript[\[Psi], 2], Rationals] && Subscript[\[Psi], 2] == Sum[Subscript[b, j], {j, 1, 2}] - Sum[Subscript[a, j], {j, 1, 3}] && NonTerminatingHypergeometricSeriesQ[ {Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}])








Standard Form





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MathML Form







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</ci> <cn type='integer'> 2 </cn> </apply> <integers /> </apply> <apply> <and /> <apply> <notin /> <apply> <ci> Subscript </ci> <ci> &#968; </ci> <cn type='integer'> 2 </cn> </apply> <rationals /> </apply> <apply> <eq /> <apply> <ci> Subscript </ci> <ci> &#968; </ci> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <sum /> <bvar> <ci> j </ci> </bvar> <lowlimit> <cn type='integer'> 1 </cn> </lowlimit> <uplimit> <cn type='integer'> 2 </cn> </uplimit> <apply> <ci> Subscript </ci> <ci> b </ci> <ci> j </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <sum /> <bvar> <ci> j </ci> </bvar> <lowlimit> <cn type='integer'> 1 </cn> </lowlimit> <uplimit> <cn type='integer'> 3 </cn> </uplimit> <apply> <ci> Subscript </ci> <ci> a </ci> <ci> j </ci> </apply> </apply> </apply> </apply> </apply> <apply> <ci> &#119977;&#119983; </ci> <list> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 3 </cn> </apply> </list> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29