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Defining Compositions of x(mu)+, |x|(mu), x(-s), and x(-s) ln |x| as Neutrix Limit of Regular Sequences

Ozcag, Emin; Lazarova, Limonka; Jolevska-Tuneska, Biljana


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/58973</identifier>
  <creators>
    <creator>
      <creatorName>Ozcag, Emin</creatorName>
      <givenName>Emin</givenName>
      <familyName>Ozcag</familyName>
      <affiliation>Hacettepe Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Lazarova, Limonka</creatorName>
      <givenName>Limonka</givenName>
      <familyName>Lazarova</familyName>
      <affiliation>Univ Doce Delcev, Dept Math, Fac Comp Sci, Stip, North Macedonia</affiliation>
    </creator>
    <creator>
      <creatorName>Jolevska-Tuneska, Biljana</creatorName>
      <givenName>Biljana</givenName>
      <familyName>Jolevska-Tuneska</familyName>
      <affiliation>St Cyrill &amp; Methodius Univ, Fac Elect Engn &amp; Informat Technol, Karpos 2 Bb, Skopje, North Macedonia</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Defining Compositions Of X(Mu)+, |X|(Mu), X(-S), And X(-S) Ln |X| As Neutrix Limit Of Regular Sequences</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/58973</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s40304-015-0076-8</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">In this paper the compositions (x(+)(mu))(-s)(-)(x(+)(mu))(-s)(+), (|x| mu)(-s) (-) and (| x|(mu))(-s)(+) of distributions x(+)(mu), |x|(mu) and x(-s) are considered. They are defined via neutrix calculus for mu &amp;gt; 0, s = 1, 2,... and mu s epsilon Z(+). In addition, the composition of x(-s) ln|x| and x(+)(r) is also defined for r, s epsilon Z(+).</description>
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