<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-2010</article-id>
      <title-group>
        <article-title>Operational calculus of the expanded SEE transform technique</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Barghooth</surname>
            <given-names>Luma J.</given-names>
          </name>
          <aff>Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Khudhair</surname>
            <given-names>Zainab A.</given-names>
          </name>
          <aff>Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kuffi</surname>
            <given-names>Emad A.</given-names>
          </name>
          <aff>Department of Mathematics, College of Basic Education, Mustensiriyah University, Baghdad, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>28</volume>
      <issue>3-B</issue>
      <fpage>1011</fpage>
      <lpage>1019</lpage>
      <pub-date date-type="pub">
        <day>08</day>
        <month>05</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>In this paper, we showed the theorem of convergence and existence for the transformation by the SEE transform technique. We have structured the appropriate space of pseudo quotients for the SEE technique. The expanded SEE technique has been defined as the expanded SEE transformation on the space of pseudo quotients. We derived several propositions of the expanded SEE integral technique and advanced its operational calculus. This paper is considered a complementary paper to all studies on SEE transform. </p>
      </abstract>
      <kwd-group>
        <kwd>The SEE integral transform</kwd>
        <kwd>Operational calculus</kwd>
        <kwd>Pseudo quotients</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
