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<top_article>
 <mrnumber>MR0621538</mrnumber>
 <author>Bank, Steven B.</author>
 <author_utf8>Steven B. BANK</author_utf8>
 <title>On certain canonical products which cannot satisfy algebraic               differential equations</title>
 <journal>Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo.               Funkcialaj Ekvaciog. Serio Internacia</journal>
 <volume>23</volume>
 <year>1980</year>
 <page>335--349</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol23/fe23-3-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe23-335-349/fe23-335-349.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0621538</mathsci_link>
<fesi_info>
  <FILE>fe23-335-349</FILE>
  <YEAR>1980</YEAR>
  <TITLE>On Certain Canonical Products which Cannot Satisfy Algebraic Differential Equations</TITLE>
  <AUTHOR>BANK, Steven B.</AUTHOR>
  <AUTHOR_utf8>BANK, Steven B.</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Bank, S.</author>
    <title>On the hypertranscendence of meromorphic solutions of certain functional equations</title>
    <journal>Proc. Roy. Soc. Edinburgh Sect. A</journal>
    <ser>Sect. A</ser>
    <vol>83</vol>
    <year>1979</year>
    <page>45-54</page>
    <mr>MR0538584</mr>
    <score>100</score>
    <query_string>Cache/Ba/Bank,hypertranscendence,Proc*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Bank, S.; Kaufman, R.</author>
    <title>A note on H&#246;lder's theorem concerning the Gamma function</title>
    <journal>Math. Ann.</journal>
    <vol>232</vol>
    <year>1978</year>
    <page>115-120</page>
    <mr>MR0477180</mr>
    <score>100</score>
    <query_string>Cache/Ba/Bank,note,Math*,1978,1979</query_string>
  </article>

  <fearticle>
    <bibitem>3</bibitem>
    <author>Bank, S.; Kaufman, R.</author>
    <title>An extension of H&#246;lder's theorem concerning the Gamma function</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>19</vol>
    <year>1976</year>
    <page>53-63</page>
    <mr>MR0419862</mr>
<feart>0419862</feart>
    <score>100</score>
    <query_string>Cache/Ba/Bank,extension,Funkcial*,1976,1977</query_string>
  </fearticle>

  <other>
    <bibitem>4</bibitem>
    <raw_data>Bank, S.; Kaufman, R., On differential equations and functional equations, J. Reine Angew. Math. (To appear)</raw_data>
    <mr>MR0549956</mr>
    <score>100</score>
  </other>

  <book>
    <bibitem>5</bibitem>
    <author>Bourbaki, N.</author>
    <booktitle>Alg&#232;bre, Chapt. lV-V, &#201;l&#233;ments de Math&#233;matique, Livre II</booktitle>
    <ser>Livre II</ser>
    <publisher>Hermann, Paris</publisher>
    <year>1950</year>
    <mr>MR0035759</mr>
  </book>

  <book>
    <bibitem>6</bibitem>
    <author>Hayman, W. K.</author>
    <booktitle>Meromorphic Functions</booktitle>
    <ser>Oxford Math. Monographs</ser>
    <publisher>Clarendon Press, Oxford</publisher>
    <year>1964</year>
    <mr>MR0164038</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hayman,Meromorphic,*,1964,1965</query_string>
    <page>xiv+191</page>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>H&#246;lder, O.</author>
    <title>&#220;ber die Eigenschaft der $\Gamma$-funktion, keiner algebraischen Differentialgleichung zu gen&#252;gen</title>
    <journal>Math. Ann.</journal>
    <vol>28</vol>
    <year>1887</year>
    <page>1-13</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ho/H\&quot;older,Differentialgleichung,Math*,18871,18872</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Miles, J.</author>
    <title>Quotient representations of meromorphic functions</title>
    <journal>J. Analyse Math.</journal>
    <vol>25</vol>
    <year>1972</year>
    <page>371-388</page>
    <mr>MR0350001</mr>
    <score>100</score>
    <query_string>Cache/Mi/Miles,representations,J*,1972,1973</query_string>
  </article>

  <book>
    <bibitem>9</bibitem>
    <author>Nevanlinna, R.</author>
    <booktitle>Analytic Functions</booktitle>
    <ser>Grundlehren der mathematischen Wissenschaften</ser>
    <publisher>Grundlehren der mathematischen Wissenschaften, Band 162, Springer-Verlag, Berlin</publisher>
    <year>1970</year>
    <mr>MR0279280</mr>
    <score>100</score>
    <query_string>Cache/Ne/Nevanlinna,Functions,*,1970,1971</query_string>
    <page>viii+373</page>
  </book>

  <book>
    <bibitem>10</bibitem>
    <author>Nevanlinna, R.</author>
    <booktitle>Le th&#233;or&#232;me de Picard-Borel et la th&#233;orie des fonctions m&#233;romorphes</booktitle>
    <publisher>Gauthier-Villars, Paris</publisher>
    <year>1929</year>
    <mr>MR0417418</mr>
    <query_string>Cache/Ne/Nevanlinna,Le,*,1929,1930</query_string>
  </book>

  <book>
    <bibitem>11</bibitem>
    <author>Saks, S.; Zygmund, A.</author>
    <booktitle>Analytic Functions</booktitle>
    <ser>Monografie Mat</ser>
    <publisher>Monografie Mat. (Engl. transl.), Tom 28, Warsaw</publisher>
    <year>1952</year>
    <page>viii+451</page>
    <mr>MR0055432</mr>
    <score>100</score>
    <query_string>Cache/Sa/Saks,Functions,*,1952,1953</query_string>
  </book>

  <book>
    <bibitem>12</bibitem>
    <author>Valiron, G.</author>
    <booktitle>Fonctions Analytiques</booktitle>
    <publisher>Presses Universitaires de France, Paris</publisher>
    <year>1954</year>
    <mr>MR0061658</mr>
    <query_string>Cache/Va/Valiron,Anafytiques,*,1954,1955</query_string>
  </book>

  <book>
    <bibitem>13</bibitem>
    <author>van der Waerden, B. L.</author>
    <booktitle>Moderne Algebra</booktitle>
    <publisher>Springer, Berlin</publisher>
    <year>1940</year>
    <page>000</page>
    <mr>MR0002841</mr>
    <query_string>Cache/va/van der Waerden,Moderne,*,1937,1938</query_string>
  </book>

  <article>
    <bibitem>14</bibitem>
    <author>Wittich, H.</author>
    <title>Bemerkung zu einer Functionalgleichung von H. Poincar&#233;</title>
    <journal>Arch. Math.</journal>
    <vol>2</vol>
    <year>1949/1950</year>
    <page>90-95</page>
    <mr>MR0033353</mr>
    <query_string>Cache/Wi/Wittich,Functionalgleichung,Arch*,null,null</query_string>
  </article>

</references>
</top_article>
