q-Bernoulli polynomials and q-umbral calculus |
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| Authors: | Dae San Kim Tae Kyun Kim |
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| Institution: | 1. Department of Mathematics, Sogang University, Seoul, 121-742, Korea
2. Department of Mathematics, Kwangwoon University, Seoul, 139-701, Korea
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| Abstract: | In this paper, we investigate some properties of q-Bernoulli polynomials arising from q-umbral calculus. We find a formula for expressing any polynomial as a linear combination of q-Bernoulli polynomials with explicit coefficients. Also, we establish some connections between q-Bernoulli polynomials and higher-order q-Bernoulli polynomials. |
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| Keywords: | q-Bernoulli polynomial q-umbral calculus |
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