Results 41 to 50 of about 15,530 (193)

A Look at Generalized Degenerate Bernoulli and Euler Matrices

Mathematics, 2023
In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices and study some algebraic properties for them. In particular, we focus our attention on some matrix-inversion formulae involving these matrices.
Juan Hernández, Dionisio Peralta, Yamilet Quintana   +2 more
doaj   +1 more source

Twenty years of dynamic occupancy models: a review of applications and look to the future

Ecography, EarlyView.
Since their introduction over 20 years ago, dynamic occupancy models (DOMs) have become a powerful and flexible framework for estimating species occupancy across space and time while accounting for imperfect detection. As their popularity has increased and extensions have further expanded their capabilities, DOMs have been applied to increasingly ...
Saoirse Kelleher, Gurutzeta Guillera-Arroita, Jane Elith, Natalie J. Briscoe   +3 more
wiley   +1 more source

A Unified Family of Generalized $q$-Hermite Apostol Type Polynomials and its Applications

Communications in Advanced Mathematical Sciences, 2019
The intended objective of this paper is to introduce a new class of generalized $q$-Hermite based Apostol type polynomials by combining the $q$-Hermite polynomials and a unified family of $q$-Apostol-type polynomials.
Tabinda Nahid, Subuhi Khan
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials

Mathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci, Rekha Srivastava, Diego Caratelli   +2 more
doaj   +1 more source

Generalizations of the Bernoulli and Appell polynomials [PDF]

Abstract and Applied Analysis, 2004
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag‐Leffler functions. Furthermore, multidimensional extensions of the Bernoulli and Appell polynomials are derived generalizing the relevant generating functions, and using ...
Bretti Gabriella, Natalini Pierpaolo, Ricci Paolo Emilio   +2 more
openaire   +6 more sources

PUMAA: Establishing a protocol for utilizing machine learning in forensic anthropological analyses

Journal of Forensic Sciences, EarlyView.
Abstract The use of machine learning (ML) models in forensic anthropology (FA) has increased in the last half decade; however, there is a lack of a standardized protocol on how to curate, use, and assess ML models. We introduce PUMAA (A Protocol for Utilizing Machine Learning in Forensic Anthropological Analyses), which includes a flowchart and a ...
Eman Faisal, Tracy L. Rogers
wiley   +1 more source

Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions

Fractal and Fractional, 2021
In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are constructed and applied to evaluate the numerical solution of the general form of Caputo fractional order diffusion wave equations.
Monireh Nosrati Sahlan, Hojjat Afshari, Jehad Alzabut, Ghada Alobaidi   +3 more
doaj   +1 more source

Bayesian inference for dynamic Q matrices and attribute trajectories in hidden Markov diagnostic classification models

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Hidden Markov diagnostic classification models capture how students' cognitive attributes evolve over time. This paper introduces a Bayesian Markov chain Monte Carlo algorithm for diagnostic classification models that jointly estimates time‐varying Q matrices, latent attributes, item parameters, attribute class proportions and transition ...
Chen‐Wei Liu
wiley   +1 more source

On Correlation Polynomials and Subword Complexity [PDF]

Discrete Mathematics & Theoretical Computer Science, 2007
We consider words with letters from a $q-ary$ alphabet $\mathcal{A}$. The kth subword complexity of a word $w ∈\mathcal{A}^*$ is the number of distinct subwords of length $k$ that appear as contiguous subwords of $w$.
Irina Gheorghiciuc, Mark Daniel Ward
doaj   +1 more source