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Around q-Appell polynomial sequences
The Ramanujan Journal, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loureiro, Ana F., Maroni, Pascal
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Generalized Dunkl–Appell Polynomials
Mediterranean Journal of MathematicsGiven an linear operator \(\lambda\) which acts on formal power series, a sequence of polynomials \(\{P_n(x)\}_{n = 0}^\infty\) is said to be \(\lambda\)-\textit{Appell} if \(\lambda P_n(x) = n P_{n-1}(x)\) for \(n \in \mathbb{N}\). An interesting characterization question on which there is a sizable literature is: When is a sequence of \(\lambda ...
Chaggara, Hamza, Gahami, Abdelhamid
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Some characterizations of appell andℊ-appell polynomials
Annali di Matematica Pura ed Applicata, 1982Several characterizations are given for the wellknown Appell polynomials and for their basic analogues: the ℊ-Appell polynomials defined by Equation (3.3)below. The main results contained in Theorems 1, 2and 3of the present paper, and the applications considered in Section 2,are believed to be new.
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Annali di Matematica Pura ed Applicata, 1967
A study of various properties of those sets of polynomials which satisfy(1.2) below is made.
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A study of various properties of those sets of polynomials which satisfy(1.2) below is made.
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Mathematical Notes of the Academy of Sciences of the USSR, 1969
Necessary and sufficient conditions are found for which a sequence of Appell polynomials forms a quasipower basis in ∀ A(¦z¦
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Necessary and sufficient conditions are found for which a sequence of Appell polynomials forms a quasipower basis in ∀ A(¦z¦
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On multiple $��_��$-Appell polynomials
201815 ...
Sadjang, P. Njionou, Mboutngam, S.
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The L-Appell Symmetric Orthogonal Polynomials
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectral Approximation with Appell Polynomials
AIP Conference Proceedings, 2011We study the super spectral vanishing viscosity method (SSV) in the context of conservation laws. We do not approximate our solutions in common ways like using Fourier, Chebyshev or Legendre methods. We focus on current work on Appell polynomials. We introduce them and give some well known properties.
Ph. Oeffner +5 more
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Expansions in series of appell polynomials
Mathematical Notes of the Academy of Sciences of the USSR, 1969We consider questions connected with the problem of expanding an entire function in a series of Appell polynomials {Pn(t)}, when the entire function is of growth no higher than first order and of normal type σ, under the assumption that certain functions A(t) and B(t) are regular in the disc ¦t¦
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Adjoint Appell-Euler and first kind Appell-Bernoulli polynomials
2019Summary: The adjunction property, recently introduced for Sheffer polynomial sets, is considered in the case of Appell polynomials. The particular case of adjoint Appell-Euler and Appell-Bernoulli polynomials of the first kind is analyzed.
P. Natalini, P. E. Ricci
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