24 research outputs found

    A Note on the Generalized -Bernoulli Measures with Weight

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    We discuss a new concept of the -extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized -Bernoulli numbers with weight attached to

    Identities of Symmetry for Higher-Order Generalized q

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    We investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers. From our investigation, we can derive many interesting identities of symmetry in two variables related to generalized higher-order q-Euler polynomials and alternating generalized q-power sums

    A note on the generalized q-Bernoulli . . .

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    We discuss a new concept of the q-extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized q-Bernoulli numbers with weight α attached to χ

    Some New Identities on the Bernoulli and Euler Numbers

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    We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials
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