• Title/Summary/Keyword: p-adic Stirling series

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A q-ANALOGUE OF $\omega-BERNOULLI$ NUMBERS AND THEIR APPLICATIONS

  • Son, Jin-Woo;Jang, Douk-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.399-412
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    • 2001
  • In this paper, we consider that the q-analogue of w$\omega-Bernoulli numbers\; B_i(\omega, q)$. And we calculate the sums of products of two q-analogue of $\omega-Bernoulli numbers B_i(\omega, q)$ in complex cases. From this result, we obtain the Euler type formulas of the Carlitz´s q-Bernoulli numbers $\beta_i(q)$ and q-Bernoulli numbers $B_i(q)$. And we also calculate the p-adic Stirling type series by the definition of $B_i(\omega, q)$ in p-adic cases.

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