
arXiv: 1203.6399
We deal with q‐Euler numbers and q‐Bernoulli numbers. We derive some interesting relations for q‐Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the q‐Euler numbers and q‐Bernoulli numbers via the p‐adic q‐integral in the p‐adic integer ring.
Mathematics - Number Theory, \(q\)-calculus and related topics, QA1-939, FOS: Mathematics, Number Theory (math.NT), Bernoulli and Euler numbers and polynomials, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Mathematics
Mathematics - Number Theory, \(q\)-calculus and related topics, QA1-939, FOS: Mathematics, Number Theory (math.NT), Bernoulli and Euler numbers and polynomials, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Mathematics
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