Results 61 to 70 of about 157,023 (195)
Some identities of Lah–Bell polynomials
Advances in Difference Equations, 2020 Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma +4 more
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More on the umbral calculus, with emphasis on the q-umbral calculus
Journal of Mathematical Analysis and Applications, 1985 AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in particular to q-umbral calculus, which shows how Andrews' q-theory relates to the q-theory discussed in the previous paper by the author. The q-Hermite polynomials and basic hypergeometric series are briefly discussed.
openaire +2 more sources
Towards the Centenary of Sheffer Polynomial Sequences: Old and Recent Results
Mathematics, 2022 Sheffer’s work is about to turn 100 years after its publication. In reporting this important event, we recall some interesting old and recent results, aware of the incompleteness of the wide existing literature. Particularly, we recall Sheffer’s approach,
Francesco Aldo Costabile +2 more
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Integration in the umbral calculus
Journal of Mathematical Analysis and Applications, 1980 AbstractThe adjointness between “multiplication” and “derivation” is a recurrent theme in Rota's umbral calculus. The subject of this paper is the companion adjointness between “division” and “integration.”
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From Circular to Bessel Functions: A Transition through the Umbral Method
Fractal and Fractional, 2017 A common environment in which to place Bessel and circular functions is envisaged. We show, by the use of operational methods, that the Gaussian provides the umbral image of these functions.
Giuseppe Dattoli +3 more
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Equine Veterinary Journal, Volume 57, Issue 3, Page 645-653, May 2025.Abstract Background Equine trigeminal‐mediated (TGM) headshaking (HS) is a neuropathic facial pain syndrome characterised by varying intensity and frequencies of head movements and signs of nasal irritation. An accurate method for quantification and/or characterisation of HS severity is lacking.
Kirstie Jane Pickles +3 more
wiley +1 more source
A new approach to the r-Whitney numbers by using combinatorial differential calculus
Acta Universitatis Sapientiae: Mathematica, 2019 In the present article we introduce two new combinatorial interpretations of the r-Whitney numbers of the second kind obtained from the combinatorics of the differential operators associated to the grammar G := {y → yxm, x → x}.
Méndez Miguel A., Ramírez José L.
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A Family of Generalized Legendre-Based Apostol-Type Polynomials
Axioms, 2022 Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman +3 more
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Review of Policy Research, EarlyView.ABSTRACT This paper provides a retrospective on California's oversight of 1,3‐dichloropropene (1,3‐D). It utilizes archival documents, including internal memos, emails, and risk assessments, to demonstrate how the state's Department of Pesticide Regulation consistently expanded allowable 1,3‐D use while presenting each policy change as scientifically ...
Kaitlyn Alvarez Noli
wiley +1 more source
Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials
Mathematics, 2019 In recent years, intensive studies on degenerate versions of various special numbers and polynomials have been done by means of generating functions, combinatorial methods, umbral calculus, p-adic analysis and differential equations.
Taekyun Kim, Dae San Kim
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