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On the $$q$$-Euler numbers and polynomials with weight 0. (English) Zbl 1250.11027
Summary: The purpose of this paper is to investigate some properties of $$q$$-Euler numbers and polynomials with weight 0. From those $$q$$-Euler numbers with weight 0, we derive some identities on the $$q$$-Euler numbers and polynomials with weight 0.

##### MSC:
 11B68 Bernoulli and Euler numbers and polynomials 11S80 Other analytic theory (analogues of beta and gamma functions, $$p$$-adic integration, etc.)
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