Showing 21 - 40 results of 57 for search '"Bernoulli numbers"', query time: 0.11s Refine Results
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    Note on Type 2 Degenerate <i>q</i>-Bernoulli Polynomials by Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon, Taekyun Kim

    Published 2019-07-01
    “…The obtained results are, among other things, several expressions for those polynomials, identities involving those numbers, identities regarding Carlitz&#8217;s <i>q</i>-Bernoulli numbers, identities concerning degenerate <i>q</i>-Bernoulli numbers, and the representations of the fully degenerate type 2 Bernoulli numbers in terms of moments of certain random variables, created from random variables with Laplace distributions. …”
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  18. 38

    Reciprocal Symmetry via Inverse Series Pairs by Wenchang Chu

    Published 2023-05-01
    “…Reciprocal series are employed to systematically review convolution sums, orthogonality relations, recurrence relations and reciprocal formulae for several classical number sequences, such as binomial coefficients, Stirling numbers, Bernoulli numbers, and Euler numbers.…”
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  19. 39

    A new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials by Waseem Ahmad Khan

    Published 2022-02-01
    “… In this paper, we introduce new class of higher order hypergeometric Hermite-Bernoulli numbers and polynomials. We shall provide several properties of higher order hypergeometric Hermite-Bernoulli polynomials including summation formulae, sums of products identity, recurrence relations. …”
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  20. 40

    Finite sums and generalized forms of Bernoulli polynomials by G. Dattoli, S. Lorenzutta, C. Cesarano

    Published 1999-01-01
    “…We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation of partial sums involving generalized forms of Hermite and Laguerre polynomials.…”
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