Results 71 to 80 of about 4,701 (182)

Degenerate 2D bivariate Appell polynomials: properties and applications

Applied Mathematics in Science and Engineering, 2023
The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani, Arundhati Warke, Javid Gani Dar   +2 more
doaj   +1 more source

Fully degenerate poly-Bernoulli numbers and polynomials

, 2015
In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and investigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
Kim, Dae San, Kim, Taekyun
openaire   +2 more sources

Poisson count time series

Journal of Time Series Analysis, Volume 47, Issue 2, Page 279-303, March 2026.
This article reviews and compares popular methods, some old and some recent, that produce time series having Poisson marginal distributions. The article begins by narrating ways where time series with Poisson marginal distributions can be produced.
Jiajie Kong, Robert Lund
wiley   +1 more source

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Note on Type 2 Degenerate q-Bernoulli Polynomials

Symmetry, 2019
The purpose of this paper is to introduce and study type 2 degenerate q-Bernoulli polynomials and numbers by virtue of the bosonic p-adic q-integrals. The obtained results are, among other things, several expressions for those polynomials, identities involving those numbers, identities regarding Carlitz’s q-Bernoulli numbers, identities concerning ...
Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon, Taekyun Kim   +3 more
openaire   +1 more source

Can hierarchical modelling of co‐occurrence data provide accurate inference into species interactions?

Methods in Ecology and Evolution, Volume 17, Issue 2, Page 456-479, February 2026.
Abstract In recent years, several compelling critiques have emerged of approaches that leverage co‐occurrence data to understand the dynamic complexities posed by species interactions. Here, motivated by the key arguments formalized over a century of debate, we use simulations grounded in ecological theory to provide guidance on when co‐occurrence data
Joshua P. Twining, Kenneth F. Kellner
wiley   +1 more source

On λ-linear functionals arising from p-adic integrals on Z p $\mathbb{Z}_{p}$

Advances in Difference Equations, 2021
The aim of this paper is to determine the λ-linear functionals sending any given polynomial p ( x ) $p(x)$ with coefficients in C p $\mathbb{C}_{p}$ to the p-adic invariant integral of P ( x ) $P(x)$ on Z p $\mathbb{Z}_{p}$ and also to that of P ( x 1 + ⋯
Dae San Kim, Taekyun Kim, Jongkyum Kwon, Si-Hyeon Lee, Seongho Park   +4 more
doaj   +1 more source

Representations by probabilistic Bernoulli and degenerate Bernoulli polynomials

We investigate the representation of arbitrary polynomials using probabilistic Bernoulli and degenerate Bernoulli polynomials associated with a random variable $Y$, whose moment generating function exists in a neighborhood of the origin. In addition, this paper explores the problem of representing arbitrary polynomials in terms of their higher-order ...
Kim, Dae san, Kim, Taekyun
openaire   +2 more sources

Reduced rank regression for mixed predictor and response variables

British Journal of Mathematical and Statistical Psychology, Volume 79, Issue 1, Page 173-206, February 2026.
Abstract In this paper, we propose the generalized mixed reduced rank regression method, GMR3 for short. GMR3 is a regression method for a mix of numeric, binary and ordinal response variables. The predictor variables can be a mix of binary, nominal, ordinal and numeric variables. For dealing with the categorical predictors we use optimal scaling.
Mark de Rooij, Lorenza Cotugno, Roberta Siciliano   +2 more
wiley   +1 more source

Some Identities of Fully Degenerate r-Dowling Polynomials Arising from λ-Umbral Calculus

Mathematics
This paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived.
Xiaoxue Li, Siqi Dong, Yuankui Ma
doaj   +1 more source