Results 91 to 100 of about 26,055 (202)
, 2015 In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.
Acikgoz, Mehmet +3 more
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Ecology and Evolution, Volume 16, Issue 4, April 2026.First comprehensive ecological assessment of the endangered genus Tigridiopalma, covering two China endemic Plant Species with Extremely Small Populations (PSESP), T. magnifica and the newly described T. exalata. T. magnifica exhibits broader habitat diversity and understory resilience, while T.
Peishan Zou +7 more
wiley +1 more source
Bayesian Random‐Effects Meta‐Analysis of Aggregate Data on Clinical Events
Statistics in Medicine, Volume 45, Issue 8-9, April 2026.ABSTRACT To investigate intervention effects on rare events, meta‐analysis techniques are commonly applied in order to assess the accumulated evidence. When it comes to adverse effects in clinical trials, these are often most adequately handled using survival methods.
Christian Röver +3 more
wiley +1 more source
C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
A new class of generalized polynomials associated with Hermite and Bernoulli polynomials
Le Matematiche, 2015 In this paper, we introduce a new class of generalized polynomials associated with the modified Milne-Thomson's polynomials Φ_{n}^{(α)}(x,ν) of degree n and order α introduced by Derre and Simsek.The concepts of Bernoulli numbers B_n, Bernoulli ...
M. A. Pathan, Waseem A. Khan
doaj
Advances in Difference Equations, 2020 In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang +3 more
doaj +1 more source
PearSAN: A Machine Learning Method for Inverse Design Using Pearson Correlated Surrogate Annealing
Advanced Optical Materials, Volume 14, Issue 10, 13 March 2026.A machine learning–assisted inverse design framework is introduced to overcome the curse of dimensionality in complex nanophotonic design problems. By leveraging Pearson‐correlated surrogate annealing (PearSAN) method within a generative latent space, rapid convergence toward optimal thermophotovoltaic metasurface designs is achieved, enabling precise ...
Michael Bezick +8 more
wiley +1 more source
Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function
, 2006 Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.
Rubinstein, Boris Y.
core
Multivariate Bernoulli polynomials
, 2019 We introduce a multivariate analogue of Bernoulli polynomials and give their fundamental properties: difference and differential relations, symmetry, explicit formula, inversion formula, multiplication theorem, and binomial type formula. Further, we consider a multivariate analogue of the multiple Bernoulli polynomials and give their fundamental ...
openaire +2 more sources
Abstract and Applied Analysis, 2012 We investigate some properties and identities of Bernoulli and Euler polynomials. Further, we give some formulae on Bernoulli and Euler polynomials by using p-adic integral on ℤp.
D. S. Kim +4 more
doaj +1 more source