<p>In this work, we define a novel polyconvolution operator with the trigonometric weight function <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\gamma =\cos y\)</EquationSource> </InlineEquation> related to the Hartley integral transforms <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(H_2,H_1\)</EquationSource> </InlineEquation>. We then establish some fashionable algebraic properties for this polyconvolution operator. Finally, we state some applications.</p>

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A New Polyconvolution Operator with the Weight Function Related to the Hartley Integral Transforms \(H_2,H_1\) and Applications

  • N. M. Khoa

摘要

In this work, we define a novel polyconvolution operator with the trigonometric weight function \(\gamma =\cos y\) related to the Hartley integral transforms \(H_2,H_1\) . We then establish some fashionable algebraic properties for this polyconvolution operator. Finally, we state some applications.