A Note on the q-Genocchi Numbers and Polynomials
نویسندگان
چکیده
have numerous important applications in number theory, combinatorics, and numerical analysis, among other areas, [1–13]. It is easy to find the values G1 = 1, G3 = G5 = G7 = ··· = 0, and even coefficients are given by G2m = 2(1− 2)B2n = 2nE2n−1(0), where Bn is a Bernoulli number and En(x) is an Euler polynomial. The first few Genocchi numbers for n= 2,4, . . . are −1,−3,17,−155,2073, . . . . The Euler polynomials are well known as
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