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<top_article>
 <mrnumber>MR0927186</mrnumber>
 <author>Okamoto, Kazuo</author>
 <author_utf8>Kazuo OKAMOTO</author_utf8>
 <title>Studies on the Painlev&#233; equations. {IV}. Third               Painlev&#233; equation {$P\sb {{\rm III}}$}</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>30</volume>
 <year>1987</year>
 <page>305--332</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol30/fe30-2-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe30-305-332/fe30-305-332.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0927186</mathsci_link>
<fesi_info>
  <FILE>fe30-305-332</FILE>
  <YEAR>1987</YEAR>
  <TITLE>Studies on the Painlev&#233; Equations IV. Third Painlev&#233; Equation $P_{III}$</TITLE>
  <AUTHOR>OKAMOTO, Kazuo</AUTHOR>
  <AUTHOR_utf8>OKAMOTO, Kazuo</AUTHOR_utf8>
</fesi_info>

<references>
  <book>
    <bibitem>1</bibitem>
    <author>Bourbaki, N.</author>
    <booktitle>Groupes et Alg&#232;bres de Lie, Chapitre 4, 5 et 6</booktitle>
    <publisher>Masson, Paris</publisher>
    <year>1981</year>
    <mr>MR0682756</mr>
    <score>75</score>
    <query_string>Cache/Bo/Bourbaki,Groupes,*,1981,1982</query_string>
    <page>138</page>
  </book>

  <book>
    <bibitem>2</bibitem>
    <author>Darboux, G.</author>
    <booktitle>Le&#231;ons sur la th&#233;orie g&#233;n&#233;rale des surfaces, tII</booktitle>
    <publisher>Chelsea</publisher>
    <year>1972</year>
    <mr>MR0396212</mr>
    <page>xvi+537</page>
  </book>

  <article>
    <bibitem>3</bibitem>
    <author>Gromak, V. I.</author>
    <title>Solutions of the third Painlev&#233; equation</title>
    <journal>Diff. Uravneniya</journal>
    <vol>9</vol>
    <year>1973</year>
    <page>1599-1600</page>
    <mr>MR0340683</mr>
    <score>83</score>
    <query_string>Cache/Gr/Gromak,Solutions,Diff*,1973,1974</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Gromak, V. I.</author>
    <title>Theory of Painlev&#233;'s equation</title>
    <journal>Diff. Uravneniya</journal>
    <vol>11</vol>
    <year>1975</year>
    <page>373-376</page>
    <mr>MR0377148</mr>
    <score>83</score>
    <query_string>Cache/Gr/Gromak,Theory,Diff*,1975,1976</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Jimbo, M.; Miwa, T.</author>
    <title>Monodromy preserving deformation of linear ordinary differential equations with rational coefficients II</title>
    <journal>Physica D</journal>
    <vol>2</vol>
    <year>1981</year>
    <page>407-448</page>
    <mr>MR0625446</mr>
    <score>100</score>
    <query_string>Cache/Ji/Jimbo,deformation,Physica*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Lukashevich, N. A.</author>
    <title>On the theory of the third Painlev&#233; equation</title>
    <journal>Diff. Uravneniya</journal>
    <vol>3</vol>
    <year>1967</year>
    <page>994-999</page>
    <mr>MR0229885</mr>
    <query_string>Cache/Lu/Lukashevich,theory,Diff*,1967,1968</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>McCoy, B. M.; Tracy, C. A.; Wu, T. T.</author>
    <title>Painlev&#233; functions of the third kind</title>
    <journal>J. Math. Phys.</journal>
    <vol>18</vol>
    <year>1977</year>
    <page>1058-1092</page>
    <mr>MR0473322</mr>
    <score>100</score>
    <query_string>Cache/Mc/McCoy,*,J*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Okamoto, K.</author>
    <title>Polynomial Hamiltonians associated with Painlev&#233; equations I</title>
    <journal>Proc. Japan Acad., Ser. A</journal>
    <ser>A</ser>
    <vol>56</vol>
    <year>1980</year>
    <page>264-268</page>
    <mr>MR0581468</mr>
    <score>100</score>
    <query_string>Cache/Ok/Okamoto,Hamiltonians,Proc*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Okamoto, K.</author>
    <title>Polynomial Hamiltonians associated with Painlev&#233; equations II</title>
    <journal>Proc. Japan Acad., Ser. A</journal>
    <ser>A</ser>
    <vol>56</vol>
    <year>1980</year>
    <page>367-371</page>
    <mr>MR0596006</mr>
    <score>100</score>
    <query_string>Cache/Ok/Okamoto,Hamiltonians,Proc*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Okamoto, K.</author>
    <title>On the $\tau$-function of the Painlev&#233; equations</title>
    <journal>Physica D</journal>
    <vol>2</vol>
    <year>1981</year>
    <page>525-535</page>
    <mr>MR0625451</mr>
    <score>100</score>
    <query_string>Cache/Ok/Okamoto,the,Physica*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Okamoto, K.</author>
    <title>Isomonodromic deformation and Painlev&#233; equations and the Garnier system</title>
    <journal>J. Fac. Sci. Univ. Tokyo, Sec. IA Math.</journal>
    <ser>Sec. IA</ser>
    <vol>33</vol>
    <year>1986</year>
    <page>575-618</page>
    <mr>MR0866050</mr>
    <score>88</score>
    <query_string>Cache/Ok/Okamoto,Isomonodromic,J*,1986,1987</query_string>
  </article>

  <other>
    <bibitem>11</bibitem>
    <raw_data>Okamoto, K., Studies on the Painlev&#233; equations I, Sixth Painlev&#233; equation P_VI, to appear in Ann. Mat.</raw_data>
    <mr>MR0916698</mr>
  </other>

  <other>
    <bibitem>11</bibitem>
    <raw_data>Okamoto, K., Studies on the Painlev&#233; equations II, Fifth Painlev&#233; equation P_V, to appear in Japan. J. Math.</raw_data>
    <mr>MR0914314</mr>
  </other>

  <article>
    <bibitem>11</bibitem>
    <author>Okamoto, K.</author>
    <title>Studies on the Painlev&#233; equations III, Second and Fourth Painlev&#233; equations, P_II and P_IV</title>
    <journal>Math. Ann.</journal>
    <vol>275</vol>
    <year>1986</year>
    <page>221-255</page>
    <mr>MR0854008</mr>
    <score>77</score>
    <query_string>Cache/Ok/Okamoto,Studies,Math*,1986,1987</query_string>
  </article>

  <other>
    <bibitem>12</bibitem>
    <raw_data>Okamoto, K., Sur les &#233;chelles associ&#233;es aux fonctions sp&#233;cialse et l'&#233;quation de Toda, &#224; para&#238;tre dans J. Fac. Sci. Univ. Tokyo</raw_data>
    <mr>MR0927607</mr>
  </other>

</references>
</top_article>
