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    Applications of Generalized <i>q</i>-Difference Equations for General <i>q</i>-Polynomials by Zeya Jia, Bilal Khan, Qiuxia Hu, Dawei Niu

    Published 2021-07-01
    “…Andrews gave a remarkable interpretation of the Rogers–Ramanujan identities with the polynomials <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ρ</mi><mi>e</mi></msub><mrow><mo stretchy="false">(</mo><mi>N</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>x</mi><mo>,</mo><mi>q</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula>, and it was noted that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ρ</mi><mi>e</mi></msub><mrow><mo stretchy="false">(</mo><mo>∞</mo><mo>,</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mi>q</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> is the generation of the fifth-order mock theta functions. …”
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