<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">606200568</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20210128100944.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">210128e20150601xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1007/s00025-015-0439-1</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1007/s00025-015-0439-1</subfield>
  </datafield>
  <datafield tag="245" ind1="0" ind2="0">
   <subfield code="a">Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Cristinel Mortici, Feng Qi]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">In the paper, the authors establish some asymptotic formulas and double inequalities for the factorial n! and the gamma function Γ in terms of the tri-gamma function ψ′.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Springer Basel, 2015</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Asymptotic formulas</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">inequalities</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">factorial</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">gamma function</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">tri-gamma function</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Mortici</subfield>
   <subfield code="D">Cristinel</subfield>
   <subfield code="u">Department of Mathematics, Valahia University of Târgovişte, Bd. Unirii 18, 130082, Târgovişte, Romania</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Qi</subfield>
   <subfield code="D">Feng</subfield>
   <subfield code="u">College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, 028043, Tongliao City, China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Results in Mathematics</subfield>
   <subfield code="d">Springer Basel</subfield>
   <subfield code="g">67/3-4(2015-06-01), 395-402</subfield>
   <subfield code="x">1422-6383</subfield>
   <subfield code="q">67:3-4&lt;395</subfield>
   <subfield code="1">2015</subfield>
   <subfield code="2">67</subfield>
   <subfield code="o">25</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1007/s00025-015-0439-1</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="898" ind1=" " ind2=" ">
   <subfield code="a">BK010053</subfield>
   <subfield code="b">XK010053</subfield>
   <subfield code="c">XK010000</subfield>
  </datafield>
  <datafield tag="900" ind1=" " ind2="7">
   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="908" ind1=" " ind2=" ">
   <subfield code="D">1</subfield>
   <subfield code="a">research-article</subfield>
   <subfield code="2">jats</subfield>
  </datafield>
  <datafield tag="949" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="F">NATIONALLICENCE</subfield>
   <subfield code="b">NL-springer</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">856</subfield>
   <subfield code="E">40</subfield>
   <subfield code="u">https://doi.org/10.1007/s00025-015-0439-1</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Mortici</subfield>
   <subfield code="D">Cristinel</subfield>
   <subfield code="u">Department of Mathematics, Valahia University of Târgovişte, Bd. Unirii 18, 130082, Târgovişte, Romania</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Qi</subfield>
   <subfield code="D">Feng</subfield>
   <subfield code="u">College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, 028043, Tongliao City, China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">773</subfield>
   <subfield code="E">0-</subfield>
   <subfield code="t">Results in Mathematics</subfield>
   <subfield code="d">Springer Basel</subfield>
   <subfield code="g">67/3-4(2015-06-01), 395-402</subfield>
   <subfield code="x">1422-6383</subfield>
   <subfield code="q">67:3-4&lt;395</subfield>
   <subfield code="1">2015</subfield>
   <subfield code="2">67</subfield>
   <subfield code="o">25</subfield>
  </datafield>
 </record>
</collection>
