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<p>In this paper, we consider complex (<i>p</i>,&#xa0;<i>q</i>)-extension Chebyshev wavelets for <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1700_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(|x|\le 1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">|</mo> <mi>x</mi> <mo stretchy="false">|</mo> <mo>≤</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. We define differential equation of the extension Chebyshev wavelets, and we solve Chebyshev differential equations of the complex (<i>p</i>,&#xa0;<i>q</i>)- extension Chebyshev wavelets on <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1700_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(|x|\le 1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">|</mo> <mi>x</mi> <mo stretchy="false">|</mo> <mo>≤</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Some Results on Complex \((p,q)-\)Extension Chebyshev Wavelets Differential Equation on \(|x|\le 1\)

  • 期刊论文

  • 发表日期：

    2025年5月18日

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  • H. Mazaheri,
  • S. M. Jesmani,
  • M. Ahmadi Baseri

摘要

In this paper, we consider complex (p, q)-extension Chebyshev wavelets for \(|x|\le 1\) | x | ≤ 1 . We define differential equation of the extension Chebyshev wavelets, and we solve Chebyshev differential equations of the complex (p, q)- extension Chebyshev wavelets on \(|x|\le 1\) | x | ≤ 1 .