Results 41 to 50 of about 628,239 (128)
Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering
Applied Mathematics in Science and Engineering, 2023 It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Some identities related to degenerate r-Bell and degenerate Fubini polynomials [PDF]
, 2022 Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the introduction of the degenerate Bernoulli and degenerate Euler polynomials by Carlitz. The aim of this paper
Kim, Taekyun +2 more
core
A note on degenerate type 2 Changhee polynomials and numbers [PDF]
, 2019 In this paper, we consider the degenerate type 2 Changhee numbers and polynomials cn,λ(x) and derive some new identities involving degenerate type 2 Changhee polynomials, the type 2 Changhee polynomials, the type 2 Euler polynomials, generalized Bell ...
Sarengaowa Chen +3 more
core +3 more sources
A note on truncated degenerate Bell polynomials
, 2020 The aim of this paper is to introduce truncated degenerate Bell polynomials and numbers and to investigate some of their properties. In more detail, we obtain explicit expressions, identities involving other special polynomials, integral representations, Dobinski-like formula and expressions of the generating function in terms of differential operators
Kim, Taekyun, Kim, Dae san
openaire +2 more sources
New Classes of Degenerate Unified Polynomials [PDF]
, 2022 In this paper, we introduce a class of new classes of degenerate unified polynomials and we show some algebraic and differential properties. This class includes the Appell-type classical polynomials and their most relevant generalizations.
Daniel Bedoya +8 more
core +1 more source
Some identities involving degenerate Cauchy numbers and polynomials of the fourth kind [PDF]
, 2023 In this paper, we study the constant equations associated with the degenerate Cauchy polynomials of the fourth kind using the generating function and Riordan array.
., Wuyungaowa, Tian, Xiao-Qian
core +3 more sources
Normal ordering of degenerate integral powers of number operator and its applications
Applied Mathematics in Science and Engineering, 2022 The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Some new properties on degenerate Bell polynomials
, 2021 The aim of this paper is to study the degenerate Bell numbers and polynomials which are degenerate version of the Bell numbers and polynomials. we derive some new identities and properties of those numbers and polynomials that are associated with the degenerate Stirling numbers of the both kinds.
Kim, Taekyun +3 more
openaire +2 more sources
Advances in Difference Equations, 2021 Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we investigate the degenerate type 2 poly-Bernoulli
Waseem A. Khan +3 more
doaj +1 more source
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 +5 more
wiley +1 more source