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On Generalized Bivariate (<i>p</i>,<i>q</i>)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (<i>p</i>,<i>q</i>)-Bernoulli–Lucas Polynomials
Published 2023-04-01Subjects: “…<i>q</i>-Bernoulli numbers…”
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22
Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials
Published 2024-01-01Subjects: “…Bernoulli numbers and polynomials…”
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Polynomial-Exponential Bounds for Some Trigonometric and Hyperbolic Functions
Published 2021-11-01Subjects: Get full text
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p-Adic integral on Z p $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind
Published 2020-06-01Subjects: Get full text
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Fractional Bernoulli and Euler Numbers and Related Fractional Polynomials—A Symmetry in Number Theory
Published 2023-10-01Subjects: Get full text
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New Families of Special Polynomial Identities Based upon Combinatorial Sums Related to <i>p</i>-Adic Integrals
Published 2021-08-01Subjects: Get full text
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27
Nuclear Reactivity Calculation with Reduction of Fluctuations
Published 2023-07-01Subjects: Get full text
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Some identities on degenerate hyperbolic functions arising from $ p $-adic integrals on $ \mathbb{Z}_p $
Published 2023-08-01Subjects: Get full text
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29
A symbolic approach to multiple Hurwitz zeta values at non-positive integers
Published 2023-03-01Subjects: Get full text
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30
Convolutions for Bernoulli and Euler–Genocchi Polynomials of Order (<i>r</i>,<i>m</i>) and Their Probabilistic Interpretation
Published 2022-06-01Subjects: “…Bernoulli number…”
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31
Two Forms for Maclaurin Power Series Expansion of Logarithmic Expression Involving Tangent Function
Published 2023-09-01Subjects: Get full text
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Some New Families of Special Polynomials and Numbers Associated with Finite Operators
Published 2020-02-01Subjects: Get full text
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New Masjed Jamei–Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions
Published 2022-08-01Subjects: Get full text
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A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function
Published 2021-01-01Subjects: “…Bernoulli numbers and polynomials…”
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On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
Published 2022-07-01Subjects: Get full text
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37
Note on Type 2 Degenerate <i>q</i>-Bernoulli Polynomials
Published 2019-07-01“…The obtained results are, among other things, several expressions for those polynomials, identities involving those numbers, identities regarding Carlitz’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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Reciprocal Symmetry via Inverse Series Pairs
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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A new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials
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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Finite sums and generalized forms of Bernoulli polynomials
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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