NOTE ON p-ADIC q-EULER MEASURE

In [1], Carlitz defined q-Bernoulli numbers as follows : beta(0,q) = 1, q(q beta + 1)(k) - beta(k,q) = {(0) (1) (if k = 1,)(if k > 1,) with the usual convention of replacing beta(k) by beta(k,q). In [13], Kolbitz constructed a p-adic Carlitz's q-Bernoulli measure for studying the q-extension of p-adic L-function. In [4, 8], T. Kim considered the Carlitz's type q-Euler numbers and polynomials. In this paper, we consider Nasybullin's type p-adic q-measure and we derive a Carlitz's type q-Euler measure on Z(p) from the Nasybullin's type p-adic q-measure.