Results 31 to 40 of about 142 (139)
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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Non-archimedean umbral calculus [PDF]
Annales mathématiques Blaise Pascal, 1998 The famous \textit{K. Mahler's} theorem [J. Reine Angew. Math. 199, 23-34 (1958; Zbl 0080.03504)] states that every continuous function \(f: Z_p\to Q_p\) can be written as \(f(x)= \sum^\infty_{n= 0}a_n\left(\begin{smallmatrix} x\\ n\end{smallmatrix}\right)\), i.e. the functions \(\left(\begin{smallmatrix} x\\ n\end{smallmatrix}\right)\) form a basis of
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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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Journal of Mathematical Analysis and Applications, 1981 AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many of the umbral calculus results follow simply by introducing a comultiplication map and requiring it to be an algebra map. The same approach is used to construct a q-umbral calculus.
Ihrig, Edwin C, Ismail, Mourad E.H
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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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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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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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The Hour that Never Comes and the Time that Remains
Journal of Analytical Psychology, EarlyView.Abstract This essay proposes a symbolic and clinical investigation of psychic temporality through two archetypal experiences of time: the hour that never comes and the time that remains. Drawing on analytical psychology, trauma theory and aesthetic philosophy, text explores how certain forms of suffering resist chronological resolution and persist as ...
Daniel Françoli Yago
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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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