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<mrnumber>MR2028720</mrnumber>
<author>Shun SHIMOMURA</author>
<author_utf8>Shun SHIMOMURA</author_utf8>
<title>Lower Estimates for the Growth of Painlev&#233; Transcendents</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>46</volume>
<year>2003</year>
<page>287--295</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/46-2/fe46-2-4.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR2028720</mathsci_link>
<fesi_info>
  <FILE>46-287</FILE>
  <YEAR>2003</YEAR>
  <TITLE>Lower Estimates for the Growth of Painlev&#233; Transcendents</TITLE>
  <AUTHOR>Shun SHIMOMURA</AUTHOR>
  <AUTHOR_utf8>Shun SHIMOMURA</AUTHOR_utf8>
</fesi_info>

<references>

<article>
<bibitem>1</bibitem>
<author>Boutroux, P.</author>
<title>Sur quelques propri&#233;t&#233;s des fonctions enti&#232;res</title>
<journal>Acta Math.</journal>
<vol>28</vol>
<year>1904</year>
<page>97-224</page>
<mr>MR1555000</mr>
</article>

<article>
<bibitem>1</bibitem>
<author>Gromak, V. I.</author>
<title>B&#228;cklund transformations of Painlev&#233; equations and their applications</title>
<journal>The Painlev&#233; property, one century later (edited by R. Conte), Springer, New York, Berlin</journal>
<year>1999</year>
<page>687-734</page>
<mr>MR1714703</mr>
</article>

<article>
<bibitem>1</bibitem>
<author>Gundersen, G. G.</author>
<title>Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates</title>
<journal>J. London Math. Soc.</journal>
<vol>37</vol>
<year>1988</year>
<page>88-104</page>
<mr>MR0921748</mr>
</article>

<book>
<bibitem>5</bibitem>
<author>Hayman, W. K.</author>
<booktitle>Meromorphic functions</booktitle>
<publisher>Clarendon Press, Oxford</publisher>
<year>1964</year>
<mr>MR0164038</mr>
</book>

<article>
<bibitem>1</bibitem>
<author>Hinkkanen, A.; Laine, I.</author>
<title>Solutions of the first and second Painlev&#233; equations are meromorphic</title>
<journal>J. Anal. Math.</journal>
<vol>79</vol>
<year>1999</year>
<page>345-377</page>
<mr>MR1749318</mr>
</article>

<book>
<bibitem>5</bibitem>
<author>Laine, I.</author>
<booktitle>Nevanlinna theory and complex differential equations</booktitle>
<publisher>de Gruyter, Berlin, New York</publisher>
<year>1993</year>
<mr>MR1207139</mr>
</book>

<article>
<bibitem>1</bibitem>
<author>Mues, E.; Redheffer, R.</author>
<title>On the growth of the logarithmic derivatives</title>
<journal>J. London Math. Soc.</journal>
<vol>8</vol>
<year>1974</year>
<page>412-425</page>
<mr>MR0355050</mr>
</article>

<fearticle>
<bibitem>1</bibitem>
<author>Murata, Y.</author>
<title>Rational solutions of the second and the fourth Painlev&#233; equations</title>
<journal>Funkcial. Ekvac.</journal>
<vol>28</vol>
<year>1985</year>
<page>1-32</page>
<mr>MR0803400</mr>
<feart>0803400</feart>
</fearticle>

<fearticle>
<bibitem>1</bibitem>
<author>Okamoto, K.; Takano, K.</author>
<title>The proof of the Painlev&#233; property by Masuo Hukuhara</title>
<journal>Funkcial. Ekvac.</journal>
<vol>44</vol>
<year>2001</year>
<page>201-217</page>
<mr>MR1865388</mr>
<feart>1865388</feart>
</fearticle>

<article>
<bibitem>1</bibitem>
<author>Shimomura, S.</author>
<title>Growth of the first, the second and the fourth Painlev&#233; transcendents</title>
<journal>Math. Proc. Camb. Phil. Soc.</journal>
<vol>134</vol>
<year>2003</year>
<page>259-269</page>
<mr>MR1972138</mr>
</article>

<article>
<bibitem>1</bibitem>
<author>Steinmetz, N.</author>
<title>Value distribution of the Painlev&#233; transcendents</title>
<journal>Israel J. Math.</journal>
<vol>128</vol>
<year>2002</year>
<page>29-52</page>
<mr>MR1910374</mr>
</article>

</references>
</top_article>
