On Hermite expansions of 1/x and 1/|x|
S. Lewandowska, J. Mikusiński (1974)
Annales Polonici Mathematici
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S. Lewandowska, J. Mikusiński (1974)
Annales Polonici Mathematici
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Zbigniew Sadlok (1983)
Annales Polonici Mathematici
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Farran, H.R., Zanoun, M.S. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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S. Thangavelu (2008)
Studia Mathematica
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We prove an analogue of Gutzmer's formula for Hermite expansions. As a consequence we obtain a new proof of a characterisation of the image of L²(ℝⁿ) under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.
Evdokia Xekalaki (1983)
Applicationes Mathematicae
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Boychev, Georgi S. (2012)
Mathematica Balkanica New Series
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MSC 2010: 33C45, 40G05 Series in Hermite polynomials with poles on the boundaries of their regions of convergence are considered.
S. Thangavelu (1990)
Colloquium Mathematicae
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R. M. Palaiya (1969)
Publications de l'Institut Mathématique
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Ayman Shehata, Lalit Mohan Upadhyaya (2017)
Mathematica Bohemica
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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. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the...
Maria Banaszczyk (2015-11-17T11:37:01Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Elisabetta Barletta, Sorin Dragomir (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Adnan Hamoui (1982)
Annales de l'I.H.P. Physique théorique
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