Abstract
We construct the -Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our -Euler polynomials of higher order by using the multiple integral equations on .
Highlights
Recommended by Vijay GuptaWe construct the q-Euler numbers and polynomials of higher order, which are related to Barnes’ type multiple Euler polynomials
Let p be a fixed odd prime number
Throughout this paper, symbols Z, Zp, Qp, and Cp will denote the ring of rational integers, the ring of p-adic integers, the field of p-adic rational numbers, and the completion of algebraic closure of Qp, respectively
Summary
We construct the q-Euler numbers and polynomials of higher order, which are related to Barnes’ type multiple Euler polynomials.
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