Results 21 to 30 of about 525,666 (282)
On the summability of series of Hermite polynomials
Journal of Mathematical Analysis and Applications, 1964 G. G. Bilodeau
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Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials
Axioms, 2023 In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö ...
Isra Al-shbeil +3 more
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Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials
Mathematics, 2023 A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
M. Zayed, S. Wani, Yamilet Quintana
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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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Hermite equivalence of polynomials
Acta Arithmetica, 2023 Compared with the previous version we have inserted some changes and corrections suggested by the anonymous referee. This is the final version.
Bhargava, M. +4 more
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Some relations satisfied by Hermite-Hermite matrix polynomials [PDF]
Mathematica Bohemica, 2017 The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula.
Ayman Shehata, Lalit Mohan Upadhyaya
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Generalized Hermite polynomials and the Bose-like oscillator calculus [PDF]
arXiv, 1993 This paper studies a suitably normalized set of generalized Hermite polynomials and sets down a relevant Mehler formula, Rodrigues formula, and generalized translation operator. Weighted generalized Hermite polynomials are the eigenfunctions of a generalized Fourier transform which satisfies an F. and M.
Marvin Rosenblum
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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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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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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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