<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1245347</mrnumber>
 <author>Sasaki, Takeshi and Uehara, Tomoyuki</author>
 <author_utf8>Takeshi SASAKI and Tomoyuki UEHARA</author_utf8>
 <title>Power series solutions around a singular point of the system               of hypergeometric differential equations of type {$(3,6)$} by               use of special values of {$\sb 3F\sb 2$}</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>36</volume>
 <year>1993</year>
 <page>405--431</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol36/fe36-2-11.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe36-405-431/fe36-405-431.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1245347</mathsci_link>
<fesi_info>
  <FILE>fe36-405-431</FILE>
  <YEAR>1993</YEAR>
  <TITLE>Power Series Solutions around a Singular Point of the System of Hypergeometric Differential Equations of Type (3,6) by use of Special Values of ${}_3F_2$</TITLE>
  <AUTHOR>SASAKI, Takeshi; UEHARA, Tomoyuki</AUTHOR>
  <AUTHOR_utf8>SASAKI, Takeshi; UEHARA, Tomoyuki</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>A1</bibitem>
    <author>Aomoto, K.</author>
    <title>On the structure of integrals of power products of linear functions</title>
    <journal>Sci. Papers, College of Arts and Sciences, University of Tokyo</journal>
    <vol>27</vol>
    <year>1977</year>
    <page>49-61</page>
    <mr>MR0590052</mr>
    <score>100</score>
    <query_string>Cache/Ao/Aomoto,structure,Sci*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>A2</bibitem>
    <author>Aomoto, K.</author>
    <title>Special values of the hypergeometric function ${}_3F_2$ and connection formulae among asymptotic expansions</title>
    <journal>J. of the Indian Math. Soc.</journal>
    <vol>51</vol>
    <year>1987</year>
    <page>161-221</page>
    <mr>MR0988314</mr>
    <score>86</score>
    <query_string>Cache/Ao/Aomoto,hypergeometric,J*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>B</bibitem>
    <author>B&#252;hring, W.</author>
    <title>The behavior at unit argument of the hypergeometric function ${}_3F_2$</title>
    <journal>SIAM J. Math. Anal.</journal>
    <vol>18</vol>
    <year>1987</year>
    <page>1227-1234</page>
    <mr>MR0902328</mr>
    <score>83</score>
    <query_string>Cache/Bu/B\&quot;uhring,hypergeometric,SIAM*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>GG</bibitem>
    <author>Gelfand, I. M.; Gelfand, S. I.</author>
    <title>Generalized hypergeometric equations</title>
    <journal>Soviet Math. Dokl.</journal>
    <vol>33</vol>
    <year>1986</year>
    <page>643-646</page>
    <mr>MR0843436</mr>
  </article>

  <article>
    <bibitem>GGR</bibitem>
    <author>Gelfand, I. M.; Graev, M. I.</author>
    <title>Hypergeometric functions related to the Grassmannian $G_{3,6}$</title>
    <journal>Matematicheski Sbornik</journal>
    <vol>180</vol>
    <year>1989</year>
    <page>3-38</page>
    <mr>MR0988844</mr>
    <score>87</score>
    <query_string>Cache/Ge/Gelfand,Hypergeometric,Matematicheski*,1989,1990</query_string>
  </article>

  <book>
    <bibitem>L</bibitem>
    <author>Luke, Y. L.</author>
    <booktitle>The Special Functions and their Approximations, vol. I</booktitle>
    <publisher>Academic Press, New York and London</publisher>
    <year>1969</year>
    <mr>MR0241700</mr>
    <score>100</score>
    <query_string>Cache/Lu/Luke,Approximations,,*,1969,1970</query_string>
    <page>xx+349</page>
  </book>

  <article>
    <bibitem>MSY</bibitem>
    <author>Matsumoto, K.; Sasaki, T.; Yoshida, M.</author>
    <title>The monodromy of the period map of a 4-parameter family of $K3$ surfaces and the hypergeometric function of type (3,6)</title>
    <journal>International J. Math.</journal>
    <vol>3</vol>
    <year>1992</year>
    <page>1-164</page>
    <mr>MR1136204</mr>
    <score>95</score>
    <query_string>Cache/Ma/Matsumoto,hypergeometric,International*,1992,1993</query_string>
  </article>

  <article>
    <bibitem>S</bibitem>
    <author>Sasaki, T.</author>
    <title>Contiguity relations of Aomoto-Gel'fand hypergeometric functions and applications to Appell's system $F_3$ and Goursat's system ${}_3F_2$</title>
    <journal>SIAM J. Math. Anal.</journal>
    <vol>22</vol>
    <year>1991</year>
    <page>821-846</page>
    <mr>MR1091686</mr>
    <query_string>Cache/Sa/Sasaki,Aomoto-Gel'fand,SIAM*,1991,1992</query_string>
  </article>

  <book>
    <bibitem>S1</bibitem>
    <author>Slater, L. J.</author>
    <booktitle>Generalized Hypergeometric Functions</booktitle>
    <publisher>Cambridge Univ. Press, London and New York</publisher>
    <year>1966</year>
    <mr>MR0201688</mr>
    <page>xiii+273</page>
  </book>

  <feother>
    <bibitem>T</bibitem>
    <raw_data>Takayama, N., Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions II, preprint, Kobe Univ., 1991</raw_data>
<mr>MR1245337</mr>
<feart>1245337</feart>
  </feother>

</references>
</top_article>
