Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
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Some Identities of Degenerate Bell Polynomials
Mathematics, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim +3 more
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Extended Bell and Stirling numbers from hypergeometric exponentiation [PDF]
, 2001 12 pages, Latex. Journal of Integer Sequences (in press)
Sixdeniers, J. -M. +2 more
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The Hankel Transform of q-Noncentral Bell Numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 We define two forms of q-analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers.
Cristina B. Corcino +4 more
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A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019 Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim +3 more
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Bell-Based Bernoulli Polynomials with Applications [PDF]
Axioms, 2021 In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
Ugur Duran, Serkan Araci, Mehmet Acikgoz
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Applied Mathematics in Science and EngineeringIn this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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The Complete Bell Polynomials for Certain Arguments in Terms of Stirling Numbers of the First Kind
Journal of Computational and Applied Mathematics, 1994 The \(p\)-th exponential complete Bell polynomial \(Y_ p (x_ 1,\dots, x_ p)\) is defined by \[ \exp \biggl( \sum_{j=1}^ \infty x_ j {{t^ j} \over {j!}} \biggr)= 1+ \sum_{p=1}^ \infty Y_ p (x_ 1,\dots, x_ p) {{t^ p} \over {p!}}. \] Such polynomial for certain arguments, given essentially by finite sums of reciprocal powers with a real parameter, is ...
K S Kölbig
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Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals [PDF]
Abstract and Applied Analysis, 2009 This article is a short elementary review of the exponential polynomials (also called single-variable Bell polynomials) from the point of view of analysis. Some new properties are included, and several analysis-related applications are mentioned.
Khristo N. Boyadzhiev
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'…but look how many lives would have been saved if this was available then' Exploring the acceptability of future Human Papillomavirus self-sampling, and the barriers and facilitators of cervical cancer screening for those with intellectual disabilities in Scotland. [PDF]
Br J Health PsycholAbstract Background Cervical cancer screening attendance among women with intellectual disabilities (ID) in Scotland is approximately 30%, significantly below the general population rate of 69% and the WHO's recommended 70% target. HPV self‐sampling could provide a more accessible screening option for this underserved population.
White CB, McGregor LM.
europepmc +2 more sources