Results 51 to 60 of about 35,394 (206)

Some identities involving derangement polynomials and $ r $-Bell polynomials

AIMS Mathematics, 2023
<abstract><p>In this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its generalizations due to Du and Fonseca. The identities of the second kind extended some
openaire   +2 more sources

An Autonomous Large Language Model‐Agent Framework for Transparent and Local Time Series Forecasting

Advanced Intelligent Discovery, EarlyView.
Architecture of the proposed large language model (LLM)‐based agent framework for autonomous time series forecasting in thermal power generation systems. The framework operates through a vertical pipeline initiated by natural language queries from users, which are processed by the LLM Agent Core powered by Llama.cpp and a ReAct loop with persistent ...
William Gouvêa Buratto, Gabriel Villarrubia Gonzalez, Ademir Nied, Laio Oriel Seman, Anne Carolina Rodrigues Klaar, Stefano Frizzo Stefenon   +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

On degenerate central complete bell polynomials

Applicable Analysis and Discrete Mathematics, 2019
In this paper, we consider of generalized central complete and incomplete Bell polynomials called degenerate central complete and incomplete Bell polynomials. These polynomials are generalizations of the recently introduced central complete Bell polynomials and `degenerate' analogues for the central complete and incomplete Bell polynomials.
Kim, Taekyun, Kim, Dae San, Jang, Gwan-Woo   +2 more
openaire   +4 more sources

Bayesian Optimisation for the Experimental Sciences: A Practical Guide to Data‐Efficient Optimisation of Laboratory Workflows

Advanced Intelligent Systems, EarlyView.
This study provides an introduction to Bayesian optimisation targeted for experimentalists. It explains core concepts, surrogate modelling, and acquisition strategies, and addresses common real‐world challenges such as noise, constraints, mixed variables, scalability, and automation.
Chuan He, Martin Singull, T. Jesper Jacobsson   +2 more
wiley   +1 more source

Derivatives of tangent function and tangent numbers

, 2015
In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki, Boyadzhiev, Comtet, Daboul, Dominici, Feng Qi, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Hoffman, Hoffman, Luo, Luo, Ma, Ma, Ma, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Remmert, Schwatt, Schwatt, Wei, Xu, Zhang   +37 more
core   +1 more source

A Special Class of Bell Polynomials [PDF]

Mathematics of Computation, 1980
We examine the integersV(n,k)V(n,k)defined by means of\[k!∑n=0∞V(n,k)xn/n!=[x(ex+1)−2(ex−1)]k,k!\sum \limits _{n = 0}^\infty {V(n,k){x^n}/n! = {{[x({e^x} + 1) - 2({e^x} - 1)]}^k},}\]and, in particular, we show how these integers are related to the Bernoulli, Genocchi and van der Pol numbers, and the numbers generated by the reciprocal ofex−x−1{e^x} - x
openaire   +2 more sources

Firms' Green Responses to Environmental Regulations: A Three‐Dimensional Concurrent Engineering Perspective

Business Strategy and the Environment, EarlyView.
ABSTRACT This study investigates companies' responses to energy efficiency policies, focusing on mandatory and voluntary regulations that create a complex landscape for businesses to navigate. Using a sample of 1473 firms across 29 European countries (2002–2018), we explore the impact of legislation on green redesign—operationalized through ...
Thomas Alexopoulos, Dimitra Kalaitzi, Giorgos Papagiannakis, Konstantina Spanaki   +3 more
wiley   +1 more source

Epilepsy in emerging adulthood: Clinical, psychosocial, and surgical challenges

Epilepsia, EarlyView.
Abstract Objective Emerging adulthood (EAs; ages 19–29 years) is a unique developmental stage marked by major psychological, social, and occupational transitions. We sought to characterize the clinical, psychosocial, and surgical features of epilepsy in emerging adulthood, considering both current age and age at epilepsy onset.
Graham A. McLeod, Colin B. Josephson, Samuel Wiebe, The Calgary Comprehensive Epilepsy Program Collaborators, Felippe Borlot, Guillermo Delgado‐García, Paolo Federico, Nathalie Jette, Karl Martin Klein, William Murphy, Neelan Pillay, Andrea Salmon, Shaily Singh, The Epilepsy Surgery Satisfaction Questionnaire Study Group, Mark J. Atkinson, Walter J. Hader, Mark R. Keezer, Oluwaseyi A. Lawal, Sophia Macrodimitris, Kristina Malmgren, Dang K. Nguyen, Scott B. Patten, Tolulope T. Sajobi, Ruby Sharma, Yves Starreveld, José Tellez‐Zenteno, Sandra Wahby   +26 more
wiley   +1 more source

Fractional Extension of Gould–Hopper–Bell Polynomials Related to Apostol-Type Polynomials and Their Properties

Fractal and Fractional
This study uses a fractional operator technique to analyze a novel class of special polynomials. These polynomials are designated as fractional Gould–Hopper–Bell–Apostol-type polynomials.
Rabeb Sidaoui, Abdulghani Muhyi, Khaled Aldwoah, Khidir Shaib Mohamed, Alawia Adam, Manal Y. A. Juma, Amer Alsulami   +6 more
doaj   +1 more source