<?xml version="1.0" encoding="utf-16"?><front xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.0/xsd/JATS-journalpublishing1.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><journal-meta><journal-id journal-id-type="publisher-id">IJMMS</journal-id><journal-title-group><journal-title>International Journal of Mathematics and Mathematical Sciences</journal-title></journal-title-group><issn pub-type="epub">1687-0425</issn><issn pub-type="ppub">0161-1712</issn><publisher><publisher-name>Hindawi Publishing Corporation</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">179812</article-id><article-id pub-id-type="doi">10.1155/S0161171281000483</article-id><title-group><article-title>Note on a role for entire functions of the classes <mml:math alttext="$P$" id="E1"><mml:mi>P</mml:mi></mml:math> and <mml:math alttext="$P^* $" id="E2"><mml:msup><mml:mi>P</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math></article-title></title-group><contrib-group><contrib contrib-type="author" id="U54973974"><name><surname>Prather</surname><given-names>C. L.</given-names></name><xref ref-type="aff" rid="I1" /></contrib></contrib-group><aff id="I1"><addr-line>Department of Mathematics</addr-line><addr-line>Virginia Tech</addr-line><addr-line>Blacksburg, Virginia 24061</addr-line><country>USA</country><ext-link ext-link-type="domain-name">vt.edu</ext-link></aff><pub-date pub-type="publication-year"><year>1981</year></pub-date><volume>4</volume><issue>4</issue><fpage>649</fpage><lpage>654</lpage><history><date date-type="received"><day>14</day><month>09</month><year>1980</year></date></history><permissions><copyright-year>1981</copyright-year><copyright-holder>Copyright © 1981 Hindawi Publishing Corporation</copyright-holder></permissions><abstract><p>We use the <mml:math alttext="$B$" id="E3"><mml:mi>B</mml:mi></mml:math> and <mml:math alttext="$B^* $" id="E4"><mml:msup><mml:mi>B</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math> operators of Levin on the Classes <mml:math alttext="$P$" id="E5"><mml:mi>P</mml:mi></mml:math> and <mml:math alttext="$P^* $" id="E6"><mml:msup><mml:mi>P</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math> and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified.</p></abstract><kwd-group><kwd>final set</kwd><kwd>differential operators</kwd><kwd>comparison principle</kwd><kwd>Gauss- Lucas Theorem</kwd></kwd-group><counts><ref-count count="22" /><page-count count="6" /></counts></article-meta></front>
