Analytic continuation of q-Euler numbers and polynomials
نویسنده
چکیده
In this paper we study that the q-Euler numbers and polynomials are analytically continued to Eq(s). A new formula for the Euler’s q-Zeta function ζE,q(s) in terms of nested series of ζE,q(n) is derived. Finally we introduce the new concept of the dynamics of analytically continued q-Euler numbers and polynomials. 2000 Mathematics Subject Classification 11B68, 11S40 Key wordsq-Bernoulli polynomial, q-Riemann Zeta function
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 21 شماره
صفحات -
تاریخ انتشار 2008