<?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-2706</article-id>
      <title-group>
        <article-title>Novel results on transformation identities for bilateral basic hypergeometric series</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Singh</surname>
            <given-names>Ranu</given-names>
          </name>
          <aff>Department of Mathematics &amp; Data Science, Sharda School of Engineering &amp; Science, Sharda University, Greater Noida, Uttar Pradesh, 201310, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Sahni</surname>
            <given-names>Nidhi</given-names>
          </name>
          <aff>Department of Mathematics &amp; Data Science, Sharda School of Engineering &amp; Science, Sharda University, Greater Noida, Uttar Pradesh, 201310, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>9</issue>
      <fpage>2749</fpage>
      <lpage>2757</lpage>
      <pub-date date-type="pub">
        <day>30</day>
        <month>09</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The present work develops a systematic approach to construct some transformation formulas and identities for bilateral basic hypergeometric series. By employing the bilateral Bailey transformation given by Andrews and Warnaar [1] together with a collection of established summation formulae, we derive several identities of the type rΨr and examine particular limiting cases. The identities obtained here both subsume classical results in the theory of bilateral q-series and constitute a meaningful extension of the Bailey transform machinery to the bilateral setting.</p>
      </abstract>
      <kwd-group>
        <kwd>Basic hypergeometric series</kwd>
        <kwd>Bilateral series</kwd>
        <kwd>Bailey transform</kwd>
        <kwd>Identities</kwd>
        <kwd>Transformation</kwd>
        <kwd>Summation formula</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>
