Results 1 to 10 of about 2,343 (153)
On Certain Properties and Applications of the Perturbed Meixner–Pollaczek Weight
Mathematics, 2021 This paper deals with monic orthogonal polynomials orthogonal with a perturbation of classical Meixner–Pollaczek measure. These polynomials, called Perturbed Meixner–Pollaczek polynomials, are described by their weight function emanating from an ...
Abey S. Kelil +2 more
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Explicit Formulas for Meixner Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.
Dmitry V. Kruchinin, Yuriy V. Shablya
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Josef Meixner: his life and his orthogonal polynomials [PDF]
Indagationes Mathematicae, 2019 This paper starts with a biographical sketch of the life of Josef Meixner. Then his motivations to work on orthogonal polynomials and special functions are reviewed.
Butzer, Paul L., Koornwinder, Tom H.
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Meixner polynomials and their properties
Доповiдi Нацiональної академiї наук України, 2019 A number of properties of a special case of Meixner polynomials given by their generating function are investigated. These polynomials arise when applying the Cayley transformation method to solving the first bounda ryvalue problem for an abstract ...
V.L. Makarov
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Mathematics, 2022 In this contribution we consider sequences of monic polynomials orthogonal with respect to the Sobolev-type inner product f,g=⟨uM,fg⟩+λTjf(α)Tjg(α), where uM is the Meixner linear operator, λ∈R+, j∈N, α≤0, and T is the forward difference operator Δ or ...
Roberto S. Costas-Santos +2 more
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A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE
Проблемы анализаIn this contribution, a new set of 𝑑-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference ...
W. Benamira, A. Nasri
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On the ω-multiple Meixner polynomials of the first kind
Journal of Inequalities and Applications, 2020 In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
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Global asymptotics of the Meixner polynomials [PDF]
Asymptotic Analysis, 2011 Using the steepest descent method for oscillatory Riemann–Hilbert problems introduced by Deift and Zhou [Ann. Math. 137 (1993), 295–368], we derive asymptotic formulas for the Meixner polynomials in two regions of the complex plane separated by the boundary of a rectangle.
Wang, X. -S., Wong, R.
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IEEE Access, 2022 Chaotic systems are widely used in signal and image encryption schemes. Therefore, the design of new chaotic systems is always useful for improving the performance of encryption schemes in terms of security. In this work, we first demonstrate the chaotic
Achraf Daoui +6 more
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Mathematics, 2023 This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set.
Jorge Arvesú +1 more
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