Quadratic symmetry of modified q-Euler polynomials

Abstract

Abstract We use the p-adic q-integral and group action to count the number of the generating functions of modified q-Euler polynomials in a prescribed set. Some generating function yields modified q-Euler polynomials with the isotropy group D4 $D_{4}$ and some gives Euler polynomials with the isotropy group V4 $V_{4}$.

Keywords

• p-adic q-integral
• modified q-Euler polynomials
• group action