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Symmetry 2018, 10(9), 395; https://doi.org/10.3390/sym10090395

Symmetric Identities for (P,Q)-Analogue of Tangent Zeta Function

Department of Mathematics, Hannam University, Daejeon 34430, Korea
Received: 25 August 2018 / Revised: 3 September 2018 / Accepted: 10 September 2018 / Published: 11 September 2018
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
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Abstract

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. View Full-Text
Keywords: tangent numbers; tangent polynomials; Carlitz-type q-tangent numbers; Carlitz-type q-tangent polynomials; (p,q)-analogue of tangent numbers and polynomials; (p,q)-analogue of tangent zeta function; symmetric identities; zeros tangent numbers; tangent polynomials; Carlitz-type q-tangent numbers; Carlitz-type q-tangent polynomials; (p,q)-analogue of tangent numbers and polynomials; (p,q)-analogue of tangent zeta function; symmetric identities; zeros
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Ryoo, C.S. Symmetric Identities for (P,Q)-Analogue of Tangent Zeta Function. Symmetry 2018, 10, 395.

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