Results 71 to 80 of about 159,564 (166)
Umbral calculus, binomial enumeration and chromatic polynomials
We develop the concept of partition categories, in order to extend the Mullin-Rota theory of binomial enumeration, and simultaneously to provide a natural setting for recent applications of the Roman-Rota umbral calculus to computations in algebraic ...
Nigel Ray
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On the ψ− Sheffer F− Polynomials and Their Degenerate Matrices
In this study, we systematically construct a novel framework within umbral calculus by integrating the structures of generalized F-calculus and degenerate sequences.
Semra Kuş
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Voigt Transform and Umbral Image
In this paper, we show that the use of methods of an operational nature, such as umbral calculus, allows achieving a double target: on one side, the study of the Voigt function, which plays a pivotal role in spectroscopic studies and in other ...
Silvia Licciardi +3 more
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Read the free Plain Language Summary for this article on the Journal blog. Abstract Heatwaves are becoming increasingly frequent across the Mediterranean and pose critical challenges for small passerines, yet the physiological and morphological limits to their resilience remain poorly understood.
Erick González‐Medina +6 more
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ABSTRACT China's poverty alleviation campaign is significant. Over the past four decades, the number of people in China living below the international extreme‐poverty line fell by close to 800 million, accounting for nearly three‐quarters of the global reduction in extreme poverty.
Zhiqi Xu, Wil Hout
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Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
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Read the free Plain Language Summary for this article on the Journal blog. Abstract Understanding how local climate patterns select for thermal and drought tolerance traits is needed to predict differential responses to climate change across complex ecosystems.
Caitlin N. Terry +5 more
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Formal calculus, umbral calculus, and basic axiomatics of vertex algebras:
The central subject of this thesis is formal calculus together with certain applications to vertex operator algebras and combinatorics. By formal calculus we mean mainly the formal calculus that has been used to describe vertex operator algebras and ...
Robinson, Thomas J.
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Defining and identifying relevant stakeholders to advance effective conservation
The challenge of defining stakeholders in environmental science and an approach for refining existing definitions. Abstract Stakeholder is a contested term that has spawned a multitude of ad hoc definitions. The ambiguity of these definitions has oftentimes impeded transdisciplinary research in environmental governance and conservation science because ...
Milan Büscher +5 more
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The Umbral Calculus of Symmetric Functions
The author develops an umbral calculus for the symmetric functions in an infinite number of variables. This umbral calculus is analogous to Roman-Rota umbral calculus for polynomials in one variable, see \textit{S. M. Roman} and \textit{G.-C. Rota} [Adv. Math. 27, 95-188 (1978; Zbl 0375.05007)].
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