Some Identities Involving Degenerate q-Hermite Polynomials Arising from Differential Equations and Distribution of Their Zeros [PDF]
Symmetry, 2022 This paper intends to define degenerate q-Hermite polynomials, namely degenerate q-Hermite polynomials by means of generating function. Some significant properties of degenerate q-Hermite polynomials such as recurrence relations, explicit identities and ...
C. Ryoo, J. Kang
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A Low-Latency, Low-Power FPGA Implementation of ECG Signal Characterization Using Hermite Polynomials [PDF]
Electronics, 2021 Automatic ECG signal characterization is of critical importance in patient monitoring and diagnosis. This process is computationally intensive, and low-power, online (real-time) solutions to this problem are of great interest. In this paper, we present a
M. Desai +4 more
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Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots [PDF]
Mathematics, 2020 In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type
AIMS MathematicsIn this paper, we consider a new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type, denoted by $ \mathcal{W}^{(\alpha)}_{n, \lambda}(\delta, \zeta; \rho; \mu) $.
Ugur Duran +3 more
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Applications of q-Hermite Polynomials to Subclasses of Analytic and Bi-Univalent Functions
Fractal and Fractional, 2022 In mathematics, physics, and engineering, orthogonal polynomials and special functions play a vital role in the development of numerical and analytical approaches.
Caihuan Zhang +5 more
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On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials
Turkish Journal of Mathematics, 2022 Version: 11.03.2022 Abstract: A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinney, Horadam–Pethe, Djordjević, Gould ...
Mushtaque Ahmed Pathan +1 more
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Mathematics, 2021 Hermite polynomials are one of the Apell polynomials and various results were found by the researchers. Using Hermit polynomials combined with q-numbers, we derive different types of differential equations and study these equations. From these equations,
Cheon-Seoung Ryoo, Jungyoog Kang
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Some properties of the Hermite polynomials
Georgian Mathematical Journal, 2021 In this paper, by the Faà di Bruno formula and properties of Bell polynomials of the second kind, the authors reconsider the generating functions of Hermite polynomials and their squares, find an explicit formula for higher-order derivatives of the ...
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Spectral Theory of Exceptional Hermite Polynomials [PDF]
Operator Theory: Advances and Applications, 2020 In this paper we revisit exceptional Hermite polynomials from the point of view of spectral theory, following the work initiated by Lance Littlejohn.
D. Gómez‐Ullate +2 more
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