Results 61 to 70 of about 34,757 (249)

Relations among Bell polynomials, central factorial numbers, and central Bell polynomials

Mathematical Sciences and Applications E-Notes, 2019
In the note, by virtue of the Fa\`a di Bruno formula and two identities for the Bell polynomials of the second kind, the authors derive three relations among the Bell polynomials, central factorial numbers of the second kind, and central Bell polynomials.
Feng Qi, Bai-Ni Guo
openaire   +3 more sources

Random discrete probability measures based on a negative binomial process

Canadian Journal of Statistics, EarlyView.
Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
wiley   +1 more source

Context-Free Grammars for Several Triangular Arrays

Axioms, 2022
In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
doaj   +1 more source

Jaccard dissimilarity in stochastic community models based on the species‐independence assumption

Ecography, EarlyView.
A fundamental problem in ecology is understanding the changes in species composition among sites (i.e. beta‐diversity). It is unclear how spatial heterogeneity in species occupancy across sites shapes patterns of beta‐diversity. To address this question, we develop probabilistic models that consider two spatial or temporal sites, where presence ...
Ryosuke Iritani, Vicente J. Ontiveros, David Alonso, José A. Capitán, William Godsoe, Shinichi Tatsumi   +5 more
wiley   +1 more source

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

Mathematics
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani, Abdulghani Muhyi, Khaled Aldwoah, Amel Touati, Khidir Shaib Mohamed, Ria H. Egami   +5 more
doaj   +1 more source

Remarks on Bell and higher order Bell polynomials and numbers

Cogent Mathematics, 2016
We recover a recurrence relation for representing in an easy form the coefficients An,k of the Bell polynomials, which are known in literature as the partial Bell polynomials. Several applications in the framework of classical calculus are derived, avoiding the use of operational techniques. Furthermore, we generalize this result to the coefficients An,
Natalini, P., Ricci P. E.
openaire   +4 more sources

Quantitative Evaluation of Sand Body Connectivity Based on the Support Vector Machine Algorithm: A Case Study of the Putaohua Oil Reservoir in the Daqing Oil Field, Songliao Basin, China

Energy Science &Engineering, EarlyView.
A support vector machine (SVM) algorithm was applied to quantitatively predict the connectivity of the sand bodies. Verification using dynamic and static data demonstrated that the prediction accuracy of the algorithm reached 88%. The quantitative sand body connectivity results were used to establish a single sand body model.
Hui He, Chang Liu, Lin Xie, Xianming Li, Chuixian Kong, Pengshan Ma, Shiyuan Li   +6 more
wiley   +1 more source

A note on degenerate derangement polynomials and numbers

AIMS Mathematics, 2021
In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions.
Taekyun Kim, Dae San Kim , Hyunseok Lee , Lee-Chae Jang   +3 more
doaj   +1 more source

On‐Chip Construction of Hierarchically Macro‐/Mesoporous Cerium Oxide/Pt Gas Sensitive Film for Ultrasensitive Detection of Trace Oxygen

Interdisciplinary Materials, EarlyView.
Uniform Pt‐modified mesoporous cerium oxide (Pt/mCeO2) microspheres are designed for constructing the hierarchically macro‐/mesoporous sensing layer on micro‐electromechanical system (MEMS) chips. Thanks to the improved gas diffusion, enhanced gas–solid interaction interfaces, and rich active metal/metal oxide sites, the as‐fabricated gas sensor ...
Yu Deng, Keyu Chen, Wenhe Xie, Xin‐Yu Huang, Fengluan Jiang, Lingxiao Xue, Ziling Zhang, Qin Yue, Limin Wu, Wei Luo, Yonghui Deng   +10 more
wiley   +1 more source

$r-$Bell polynomials in combinatorial Hopf algebras

, 2016
We introduce partial $r$-Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenhauss formula.Comment: 7 ...
Chouria, Ali, Luque, Jean-Gabriel
core   +1 more source