Results 41 to 50 of about 525,666 (282)
A new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we introduce new class of higher order hypergeometric Hermite-Bernoulli numbers and polynomials. We shall provide several properties of higher order hypergeometric Hermite-Bernoulli polynomials including summation formulae, sums of ...
Waseem Ahmad Khan
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Zeros of exceptional Hermite polynomials [PDF]
Journal of Approximation Theory, 2015 We study the zeros of exceptional Hermite polynomials associated with an even partition $ $. We prove several conjectures regarding the asymptotic behavior of both the regular (real) and the exceptional (complex) zeros. The real zeros are distributed as the zeros of usual Hermite polynomials and, after contracting by a factor $\sqrt{2n}$, we prove ...
Kuijlaars, Arno, Milson, Robert
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Analysis and convergence of Hermite subdivision schemes [PDF]
Foundations of Computational Mathematics, Vol. 23 (2023), 165-218, 2020 Hermite interpolation property is desired in applied and computational mathematics. Hermite and vector subdivision schemes are of interest in CAGD for generating subdivision curves and in computational mathematics for building Hermite wavelets to numerically solve partial differential equations.
arxiv +1 more source
A Unified Family of Generalized $q$-Hermite Apostol Type Polynomials and its Applications
Communications in Advanced Mathematical Sciences, 2019 The intended objective of this paper is to introduce a new class of generalized $q$-Hermite based Apostol type polynomials by combining the $q$-Hermite polynomials and a unified family of $q$-Apostol-type polynomials.
Tabinda Nahid, Subuhi Khan
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AIMS Mathematics, 2023 In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past ...
Mohra Zayed, Shahid Wani
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Hermite polynomials and Fibonacci oscillators [PDF]
Journal of Mathematical Physics, 2019 We compute the (q1, q2)-deformed Hermite polynomials by replacing the quantum harmonic oscillator problem to Fibonacci oscillators. We do this by applying the (q1, q2)-extension of Jackson derivative. The deformed energy spectrum is also found in terms of these parameters. We conclude that the deformation is more effective in higher excited states.
Francisco A. Brito +2 more
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Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
Mathematics, 2023 With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science.
Archna Kumari, Vijay K. Kukreja
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Appell and Sheffer sequences: on their characterizations through functionals and examples
Comptes Rendus. Mathématique, 2021 The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature ...
Carrillo, Sergio A., Hurtado, Miguel
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On a Generalisation of Hermite Polynomials [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper, the author introduces a generalisation of the Hermite polynomials. Hypergeometric representations, a new generating relation and n n th order differential formulae for the generalised polynomials have also been derived therein.
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Journal of Open Source Software, 2019 In The Walrus, we provide a highly optimized implementation of the best known algorithms for hafnians, loop hafnians, multidimensional Hermite ...
Brajesh Gupt, J. Izaac, N. Quesada
semanticscholar +1 more source