Results 101 to 110 of about 1,776 (233)
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.
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Ecology and Evolution, Volume 16, Issue 7, July 2026.This study reveals that Hainan Peacock‐Pheasants and Silver Pheasants coexist through distinct temporal and spatial niche partitioning. However, human disturbance disrupts their positive association, as the sensitive Peacock‐Pheasant avoids high‐impact areas while the tolerant Silver Pheasant persists. Consequently, anthropogenic pressure renders their
Xiangxiang Lu +4 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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Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
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Generalisation of Bernoulli Polynomials
, 2001 In this article, the Bernoulli polynomials are generalised and some properties of the resulting generalisations are ...
Qi, Feng, Guo, Bai-Ni
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Two closed forms for the Bernoulli polynomials
, 2016 In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and ...
Qi, Feng +3 more
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Large Deviations of the Giant Component in Scale‐Free Inhomogeneous Random Graphs
Random Structures &Algorithms, Volume 68, Issue 4, July 2026.ABSTRACT We study large deviations of the size of the largest connected component in a general class of inhomogeneous random graphs with iid weights, parametrized so that the degree distribution is regularly varying. We derive a large‐deviation principle with logarithmic speed: the rare event that the largest component contains linearly more vertices ...
Joost Jorritsma, Bert Zwart
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Bernoulli polynomials of the first kind
, 1958 Thesis (M.A.)-- University of Wichita, College of Liberal Arts and Sciences, Dept. of MathematicsProperties of the Bernoulli polynomials -- Bernulli Series -- Laplace transformations of the Bernoulli polynomials -- Bernoulli integral transformations ...
Bargen, Ralph K.
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Identities of symmetry for q-Bernoulli polynomials
, 2010 In this paper, we derive eight basic identities of symmetry in three variables related to q-Bernoulli polynomials and the q-analogue of power sums. These and most of their corollaries are new, since there have been results only concerning identities of ...
Kim, Dae San, Dae San Kim
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