Results 81 to 90 of about 219,144 (225)

Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials [PDF]

, 2012
We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(x; λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane.
Navas, L.M. [0000-0002-5742-8679], Varona, J.L. [0000-0002-2023-9946], Francisco J. Ruiz, Juan L. Varona, Ruiz, F.J., Luis M. Navas, Navas, L.M., Varona, J.L.   +7 more
core   +1 more source

Artificial intelligence empowers targeted protein degradation: Core technological innovations, multi‐scenario applications, and translational prospects

Smart Molecules, EarlyView.
AI is transforming TPD by improving the design, prediction, and optimization of degraders such as PROTACs, molecular glues, and LYTACs. This review summarizes key AI‐driven advances, highlights applications across drug discovery stages, and discusses remaining challenges and future directions for accelerating the development of therapies against ...
Shuanglin Qin, Rui Peng, Guangshuai Zhang, Si Yan, Jin Xiao, Zishu Liu, Ziyu Tan, Qingqing Xie, Shangjie Li, Wei Luo, Xiaohe Xiao   +10 more
wiley   +1 more source

Polynomial‐shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 more
wiley   +1 more source

Some Symmetric Identities for Degenerate Carlitz-type (p, q)-Euler Numbers and Polynomials

, 2019
In this paper we define the degenerate Carlitz-type ( p , q ) -Euler polynomials by generalizing the degenerate Euler numbers and polynomials, degenerate Carlitz-type q-Euler numbers and polynomials.
Cheon Seoung Ryoo, Kyung-Won Hwang
core   +1 more source

Some Formulae for the Product of Two Bernoulli and Euler Polynomials

Abstract and Applied Analysis, 2012
We investigate some formulae for the product of two Bernoulli and Euler polynomials arising from the Euler and Bernoulli basis polynomials.
D. S. Kim, D. V. Dolgy, T. Kim, S.-H. Rim   +3 more
doaj   +1 more source

Degenerate Bell polynomials associated with umbral calculus

Journal of Inequalities and Applications, 2020
Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim, Dae San Kim, Han-Young Kim, Hyunseok Lee, Lee-Chae Jang   +4 more
doaj   +1 more source

Hotter, faster, sicker? Warming shifts the cost of infection from individuals to populations

Journal of Animal Ecology, EarlyView.
This study examines how temperature alters disease impacts across biological scales in a host–pathogen system. We found infected hosts appear healthiest at warm temperatures, yet populations suffer most. This suggests climate warming may intensify disease impacts for populations in ways traditional individual‐level virulence metrics fail to predict ...
Nathan J. Butterworth, Kerri J. Moore, Matthew D. Hall   +2 more
wiley   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

On the 𝑞-Euler Numbers and Polynomials with Weight 0

Abstract and Applied Analysis, 2012
The purpose of this paper is to investigate some properties of 𝑞-Euler numbers and polynomials with weight 0. From those 𝑞-Euler numbers with weight 0, we derive some identities on the 𝑞-Euler numbers and polynomials with weight 0.
T. Kim, J. Choi
doaj   +1 more source

On the asymmetry, complexity and predicted data patterns of nontraditional item response theory models

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Traditional item response theory (IRT) models involve symmetric response probability functions, but a developing area of research has focused on asymmetric alternatives. To date, these studies have focused primarily on introducing new asymmetric models, detailing their mathematical formulations, explaining how to interpret their item ...
Hyejin Shim, Wes Bonifay
wiley   +1 more source