Results 11 to 20 of about 2,589 (160)
New Characterization of Appell polynomials [PDF]
Integral Transforms and Special Functions, 2016 We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples.
Bayad, Abdelmejid, Komatsu, Takao
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Appell-Type Functions and Chebyshev Polynomials
Mathematics, 2019 In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
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General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints
Mathematics, 2021 An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties.
Francesco Aldo Costabile +2 more
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Appell polynomials and their relatives [PDF]
, 2004 This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials.
Anshelevich, Michael
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Difference equations of q-Appell polynomials [PDF]
Applied Mathematics and Computation, 2014 In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known calssical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for newly defined q ...
Nazim I Mahmudov
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Certain Results of q -Sheffer–Appell Polynomials [PDF]
Symmetry, 2019 In this paper, the class of q -Sheffer–Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of q -Sheffer–Appell polynomials are investigated and some properties of these members are derived. In addition, the class of 2D
Ghazala Yasmin +2 more
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Turan's inequality for appell polynomials [PDF]
Journal of Inequalities and Applications, 2006 We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal polynomials.
Simic Slavko
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Exponential Transforms and Appell Polynomials. [PDF]
Proc Natl Acad Sci U S A, 1948 Boas RP.
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Polynomials biorthogonal to Appell's polynomials [PDF]
Bulletin of the Australian Mathematical Society, 1974 We present the solution of a long-standing problem, namely, the determination of a set of polynomials in two independent variables which are biorthogonal over a triangular region to a set of polynomials previously introduced by Appell. Some elementary properties of our polynomials are investigated.
Fackerell, Edward D., Littler, R. A.
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Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In the 1970s, Gian‐Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim‐Kim, umbral calculus is generalized called λ‐umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee ...
Sang Jo Yun +2 more
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