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Symmetric identities for \((P,Q)\)-analogue of tangent zeta function - MaRDI portal

Symmetric identities for \((P,Q)\)-analogue of tangent zeta function (Q2333766)

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Symmetric identities for \((P,Q)\)-analogue of tangent zeta function
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    Symmetric identities for \((P,Q)\)-analogue of tangent zeta function (English)
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    13 November 2019
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    Summary: The goal of this paper is to define the \((p,q)\)-analogue of tangent numbers and polynomials by generalizing the tangent numbers and polynomials and Carlitz-type \(q\)-tangent numbers and polynomials. We get some explicit formulas and properties in conjunction with \((p,q)\)-analogue of tangent numbers and polynomials. We give some new symmetric identities for \((p,q)\)-analogue of tangent polynomials by using \((p,q)\)-tangent zeta function. Finally, we investigate the distribution and symmetry of the zero of \((p,q)\)-analogue of tangent polynomials with numerical methods.
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    tangent numbers
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    tangent polynomials
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    Carlitz-type \(q\)-tangent numbers
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    Carlitz-type \(q\)-tangent polynomials
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    \((p,q)\)-analogue of tangent numbers and polynomials
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    \((p,q)\)-analogue of tangent zeta function
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    symmetric identities
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    zeros
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