q-Extension of the Euler formula and trigonometric functions

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Euler Numbers and Polynomials Associated with Zeta Functions (2008, background): “ve integer in complex plane. Riemann did develop the theory of analytic continuation needed to rigorously deﬁne ζ(s) for all s ∈ C − {0}. From this zeta function, he derived the following formula, cf.[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, ”
An identity of the symmetry for the Frobenius-Euler polynomials associated with the Fermionic $p$-adic invariant $q$-integrals on ${\bf Z}_p$ (2008, background): “When one talks of q-extension, q is variously considered as an indeterminate, a complex q ∈ C, or a p-adic number q ∈ Cp, see [9-22].”
Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on ℤp (2009, unknown): “[1–22]).”