<p>Using the method of operators of substitution parameters, a new transformation of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11139_2024_1008_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(_3\phi _2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mn>3</mn> <mrow /> </mmultiscripts> <msub> <mi>ϕ</mi> <mn>2</mn> </msub> </mrow> </math></EquationSource> </InlineEquation>-series closely related to the famous Weierstrass theta identity is established.</p>

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A new \( _3\phi _2\)-series transformation related to the Weierstrass theta identity

  • Jianan Xu

摘要

Using the method of operators of substitution parameters, a new transformation of \(_3\phi _2\) 3 ϕ 2 -series closely related to the famous Weierstrass theta identity is established.