Results 1 to 10 of about 2,576 (164)
Some properties of generalized hypergeometric Appell polynomials [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $x^{(n)}$ denotes the Pochhammer symbol (rising factorial) defined by the formulas $x^{(0)}=1$ and $x^{(n)}=x(x+1)(x+2)\cdots (x+n-1)$ for $n\geq 1$.
L. Bedratyuk, N. Luno
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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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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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Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type [PDF]
Journal of Inequalities and Applications, 2017 The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012).
Manjari Sidharth +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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Exponential Transforms and Appell Polynomials. [PDF]
Proc Natl Acad Sci U S A, 1948 Boas RP.
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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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An Algebraic Approach to the Δh-Frobenius–Genocchi–Appell Polynomials
Mathematics, 2023 In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani +6 more
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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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