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<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-2554</article-id>
      <title-group>
        <article-title>New analytical results for Laguerre polynomials based on the Emad–Sara transform</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Mahdi</surname>
            <given-names>Ahlam Abdulkareem</given-names>
          </name>
          <aff>General Directorate of Education Najaf, Ministry of Education, Najaf, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Flayyih</surname>
            <given-names>Rusul Ahmed</given-names>
          </name>
          <aff>General Directorate of Education Thi-Qar, Ministry of Education, Thi-Qar, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Malik</surname>
            <given-names>Nada Hadi</given-names>
          </name>
          <aff>General Directorate of Education Najaf, Ministry of Education, Najaf, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kuffi</surname>
            <given-names>Emad Abbas</given-names>
          </name>
          <aff>Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>5-B</issue>
      <fpage>1617</fpage>
      <lpage>1623</lpage>
      <pub-date date-type="pub">
        <day>27</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>An Emad–Sara transform be an effective mathematical technique for simplifying and solving differential equations arising in applied mathematics and engineering sciences. By converting differential operators into algebraic forms, this transform facilitates the analytical treatment of complex problems and improves solution efficiency. In this paper, the Emad–Sara transform is employed to analyze Laguerre polynomials of arbitrary order, and several of their transform properties are derived. Furthermore, the proposed approach is apply to solutions for ordinary differential equation involving Laguerre polynomials, demonstrating the practical utility of the transform in handling polynomial-based differential models. The obtained results confirm that the Emad–Sara transform provides a systematic and reliable framework for simplifying the solution process while preserving analytical accuracy. This study highlights the potential of the Emad–Sara transform as a valuable tool for solving polynomial-based differential equations and supports its applicability in mathematical and engineering applications. </p>
      </abstract>
      <kwd-group>
        <kwd>ES-integral transform</kwd>
        <kwd>Inverse estransform</kwd>
        <kwd>Cryptography</kwd>
        <kwd>Cryptosystem</kwd>
        <kwd>Encryption</kwd>
        <kwd>Decryption</kwd>
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          <meta-value>open</meta-value>
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  </front>
</article>
