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Meromorphic solutions of P_4,34 and their value distribution

2016
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Annales Academiae Scientiarum Fennicae: Mathematica
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The unified equation P 4,34 is closely related to the well-known Painlevé equations P 2 and P 4 . We discuss various properties of solutions of P 4,34 , including one-parameter families of solutions, Bäcklund transformations, regular systems for expansions around zeros and poles and value distribution. In particular, we give estimates of defects and multiplicity indices of transcendental meromorphic solutions of this equation. Moreover, we study solutions of P 4,34 from the perspective of

doi:10.5186/aasfm.2016.4146
fatcat:vw3lnabg5jad7d23ou75ctn3v4