Symmetric Properties for Dirichlet-Type Multiple (<i>p</i>,<i>q</i>)-<i>L</i>-Function

Abstract

The main aim of this article is to investigate some interesting symmetric identities for the Dirichlet-type multiple (p,q)-L function. We use this function to examine the symmetry of the generalized higher-order (p,q)-Euler polynomials related to χ. First, the generalized higher-order (p,q)-Euler numbers and polynomials related to χ are defined. We also give a few new symmetric properties for the Dirichlet-type multiple (p,q)-L-function and generalized higher-order (p,q)-Euler polynomials related to χ.

Keywords

• Dirichlet-type multiple (<i>p</i>,<i>q</i>)-<i>L</i> function
• generalized higher-order (<i>p</i>,<i>q</i>)-Euler polynomials related to <i>χ</i>
• symmetric identities
• generalized alternating (<i>p</i>,<i>q</i>)-power sums