Results 121 to 130 of about 726,471 (254)
On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter
Mathematics, 2019 We firstly consider the fully degenerate Gould–Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
U. Duran, P. N. Sadjang
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On Almost Gallai Colorings in Complete Graphs
Random Structures &Algorithms, Volume 69, Issue 4, December 2026.ABSTRACT We investigate a rainbow analog of the Ruzsa–Szemerédi problem. For t∈ℕ$$ t\in \mathbb{N} $$, we say that a coloring of E(Kn)$$ E\left({K}_n\right) $$ is almost t$$ t $$‐Gallai if no two rainbow t$$ t $$‐cliques share an edge. Motivated by a lemma of Berkowitz on bounding the modulus of the characteristic function of clique counts in random ...
Alexandr Grebennikov +2 more
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A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α
Abstract and Applied Analysis, 2011 A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α is presented by using the p-adic q-integration ℤp.
T. Kim +4 more
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Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]
Int J Appl Comput Math, 2022 Pourdarvish A +3 more
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A Note on Bernoulli Numbers and Shintani Generalized Bernoulli Polynomials [PDF]
Transactions of the American Mathematical Society, 1996 Generalized Bernoulli polynomials were introduced by Shintani in 1976 in order to express the special values at non-positive integers of Dedekind zeta functions for totally real numbers. The coefficients of such polynomials are finite combinations of products of Bernoulli numbers which are difficult to get hold of.
openaire +1 more source
Random‐X Prediction Error Under Model Misspecification
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 6, December 2026.ABSTRACT In recent years, advances in computing, particularly the internet, have enabled the collection of Big Data. This has been the key of the current boom of Artificial Intelligence, fed with huge amounts of data, not necessarily of good quality. Processing them with traditional analyses may be unaffordable and new techniques are continuously being
Alvaro Cia‐Mina +3 more
wiley +1 more source
Unified Stein‐Type Characterizations of Bivariate Count Distributions With Applications
Scandinavian Journal of Statistics, Volume 53, Issue 4, Page 1471-1484, December 2026.ABSTRACT The derivation and application of Stein identities have received considerable research interest, especially for continuous distributions and univariate discrete distributions. In this article, we derive a unified Stein‐type characterization for three bivariate count models, namely the bivariate Poisson, type‐I bivariate binomial, and bivariate
Shaochen Wang, Christian H. Weiß
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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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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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