... present a systemic study of some formulas of thetwisted q-extension of the generalized Euler numbers and polynomials of order k attachedto χ.2. On the Twisted q-Extension of the Generalized Euler ... generalized h, q-Euler polynomials of order r attachedto χ. In the special case x 0, Ern,χ,ζ,q Ern,χ,ζ,q0 are called the nth generalized h, r-Eulernumbers of order r.By1.7, we obtain ... q-analogue of the p-adic log gamma functions and related integrals,” Journal of NumberTheory, vol. 76, no. 2, pp. 320–329, 1999.3 T. Kim, “Some identities on the q-Euler polynomials of higher...