Results 41 to 50 of about 3,137 (142)
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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Journal of Mathematical Analysis and Applications, 2000 The author establishes some weaker characteristic conditions of the operator \(t_c\) and investigates invariant operators. It is shown that if an operator \(T\) can commute with one of the operators \(\sigma_p\) (\(p\neq 0\) and a root of unity), then \(T\) is an invariant operator.
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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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Journal of Mathematical Analysis and Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Congruences via umbral calculus
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.
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Some identities of higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus [PDF]
, 2013 In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus to have alternative ways ...
Dolgy, Dmitry v. +3 more
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Defining and identifying relevant stakeholders to advance effective conservation
Conservation Biology, EarlyView.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
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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Tracking the impact of bottom trawling on benthic habitat status
Conservation Biology, EarlyView.Abstract Bottom trawling is the most widespread physical disturbance to marine benthic habitats, yet broadscale assessments of its impact remain limited. We developed a quantitative framework to evaluate trawling effects on benthic habitats at broad spatial scales based on the sentinels of seabed (SoS) indicator.
Maider Plaza‐Morlote +10 more
wiley +1 more source
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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