Results 111 to 120 of about 1,776 (233)
A note on type 2 q-Bernoulli and type 2 q-Euler polynomials
Journal of Inequalities and Applications, 2019 As is well known, power sums of consecutive nonnegative integers can be expressed in terms of Bernoulli polynomials. Also, it is well known that alternating power sums of consecutive nonnegative integers can be represented by Euler polynomials.
Dae San Kim +3 more
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Is It Easier to Count Communities Than Find Them?
Random Structures &Algorithms, Volume 68, Issue 4, July 2026.ABSTRACT Random graph models with community structure have been studied extensively in the literature. For both the problems of detecting and recovering community structure, an interesting landscape of statistical and computational phase transitions has emerged. A natural unanswered question is: Might it be possible to infer properties of the community
Cynthia Rush +3 more
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, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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Probabilistic degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsRecently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo +3 more
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Generalizations of the Bernoulli and Appell polynomials
Abstract and Applied Analysis, 2004 We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti +2 more
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Statistics in Medicine, Volume 45, Issue 15-17, July 2026.ABSTRACT The human microbiome plays a crucial role in health, but understanding its dynamic relationship with the host requires regular monitoring. Beyond challenges such as high dimensionality and sparsity, additional complexities arise, particularly within‐cluster correlation from repeated measures and pervasive missing data. To address these issues,
Jinyuan Liu +10 more
wiley +1 more source
Convolution Identities for Bernoulli and Genocchi Polynomials [PDF]
The Electronic Journal of Combinatorics, 2014 The main purpose of this paper is to derive various Matiyasevich-Miki-Gessel type convolution identities for Bernoulli and Genocchi polynomials and numbers by applying some Euler type identities with two parameters.
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Some properties of Bernoulli polynomials and their generalizations
, 2011 In this work, we investigate some well-known and new properties of the Bernoulli polynomials and their generalizations by using quasi-monomial, lowering operator and operational methods. Some of these general results can indeed be suitably specialized in
Da-Qian Lu, Lu, Da-Qian
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Statistics in Medicine, Volume 45, Issue 15-17, July 2026.ABSTRACT Environmental exposures, such as air pollution and extreme temperatures, have complex effects on human health. These effects are often characterized by non‐linear exposure‐lag‐response relationships and delayed impacts over time. Accurately capturing these dynamics is crucial for informing public health interventions.
Álvaro Briz‐Redón +3 more
wiley +1 more source
On p-Bernoulli numbers and polynomials
Journal of Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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