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<p>In recent years, many mathematicians ([<CitationRef AdditionalCitationIDS="CR4 CR5 CR6 CR7 CR8 CR9 CR10 CR11 CR12 CR13 CR14" CitationID="CR3">3</CitationRef>–<CitationRef CitationID="CR15">15</CitationRef>, <CitationRef AdditionalCitationIDS="CR20 CR21 CR22 CR23" CitationID="CR19">19</CitationRef>–<CitationRef CitationID="CR24">24</CitationRef>]) studied the <i>q</i>-Bernoulli polynomials, <i>q</i>-Euler polynomials and <i>q</i> -Genocchi polynomials. In this paper, we introduce and investigate degenerate two variable <i>q</i>-Bernoulli polynomials and degenerate two variable <i>q</i>-Euler polynomials. We give some relations including connection formulas, recurrence formulas and correlations for these polynomials.</p>

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Degenerate Two Variable q-Bernoulli and q-Euler Polynomials

  • 期刊论文

  • 发表日期：

    2025年9月18日

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  • Burak Kurt,
  • Veli Kurt

摘要

In recent years, many mathematicians ([3–15, 19–24]) studied the q-Bernoulli polynomials, q-Euler polynomials and q -Genocchi polynomials. In this paper, we introduce and investigate degenerate two variable q-Bernoulli polynomials and degenerate two variable q-Euler polynomials. We give some relations including connection formulas, recurrence formulas and correlations for these polynomials.