Tchebycheff polynomials and their relation to circular functions, Besselfunctions and Lissajous-Figures

A new extension of -Euler numbers and po

A new extension of -Euler numbers and polynomials related to their interpolation functions

✍ Hacer Ozden; Yilmaz Simsek 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 216 KB

In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions