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

Symmetry ◽  
2018 ◽  
Vol 10 (9) ◽  
pp. 395
Author(s):  
Cheon Ryoo

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.

Analysis ◽  
2015 ◽  
Vol 35 (1) ◽  
Author(s):  
Semyon Yakubovich

AbstractVarious new identities, recurrence relations, integral representations, connection and explicit formulas are established for the Bernoulli and Euler numbers and the values of Riemann's zeta function ζ(


2019 ◽  
Author(s):  
Rajesh Kumar Gupta
Keyword(s):  

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