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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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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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Bivariate q -Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Uğur Duran
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Laguerre-type general-Appell polynomials
Integral Transforms and Special FunctionsIn this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising operators, differential equation, determinant representation and some other properties.
Zeynep Ozat +2 more
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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 Mahmudov
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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.
Anna Napoli +2 more
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Exponential Transforms and Appell Polynomials. [PDF]
Proc Natl Acad Sci U S A, 1948 Boas RP.
europepmc +5 more sources
Laguerre-based Appell polynomials: Properties and applications
Mathematical and Computer Modelling, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Subuhi Khan
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A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators
Fractal and Fractional, 2023 This paper investigates the significance of generating expressions, operational principles, and defining characteristics in the study and development of special polynomials.
Mohra Zayed, Shahid Ahmad Wani
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On the asymptotics of the rescaled Appell polynomials [PDF]
Advances in Applied Mathematics, 2020 We introduce a new representation for the rescaled Appell polynomials and use it to obtain asymptotic expansions to arbitrary order. This representation consists of a finite sum and an integral over a universal contour (i.e. independent of the particular polynomials considered within the Appell family).
J. Fernando Barbero G. +2 more
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