Results 11 to 20 of about 1,392 (81)
On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus
Journal of Mathematics, 2023 In this article, we derived various identities between the degenerate poly-Daehee polynomials and some special polynomials by using λ-umbral calculus by finding the coefficients when expressing degenerate poly-Daehee polynomials as a linear combination ...
Sang Jo Yun, Jin-Woo Park
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
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Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus
CMES - Computer Modeling in Engineering and Sciences, 2021 Dae San Kim +2 more
exaly +2 more sources
A note on degenerate multi-poly-Bernoulli numbers and polynomials
Applicable Analysis and Discrete Mathematics, 2023 In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those numbers and polynomials.
Kim, Taekyun, Kim, Dae San
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Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials with q-parameter and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using dierent analytical means and applying generating functions ...
Waseem A. Khan +2 more
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Some applications of degenerate poly-Bernoulli numbers and polynomials [PDF]
Georgian Mathematical Journal, 2017 Abstract In this paper, we consider degenerate poly-Bernoulli numbers and polynomials associated with a polylogarithmic function and a p-adic invariant integral on ℤ p
Kim, Dae San, Kim, Taekyun
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Voter models on subcritical scale‐free random graphs
Random Structures &Algorithms, Volume 62, Issue 2, Page 376-429, March 2023., 2023 Abstract The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyze the time to consensus for the voter model when the underlying graph is a subcritical scale‐free random graph. Moreover, we generalize the model to include a “temperature” parameter controlling how the graph influences the ...
John Fernley, Marcel Ortgiese
wiley +1 more source
Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Dae San +3 more
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Representations of modified type 2 degenerate poly-Bernoulli polynomials
AIMS Mathematics, 2022 <abstract><p>Research on the degenerate versions of special polynomials provides a new area, introducing the $ \lambda $-analogue of special polynomials and numbers, such as $ \lambda $-Sheffer polynomials. In this paper, we propose a new variant of type 2 Bernoulli polynomials and numbers by modifying a generating function.
Jongkyum Kwon +3 more
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Universal prediction band via semi‐definite programming
Journal of the Royal Statistical Society: Series B (Statistical Methodology), Volume 84, Issue 4, Page 1558-1580, September 2022., 2022 Abstract We propose a computationally efficient method to construct nonparametric, heteroscedastic prediction bands for uncertainty quantification, with or without any user‐specified predictive model. Our approach provides an alternative to the now‐standard conformal prediction for uncertainty quantification, with novel theoretical insights and ...
Tengyuan Liang
wiley +1 more source