Saifallah Ghobber (2018)
Czechoslovak Mathematical Journal
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The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.
Rajkovic, Predrag M., Barry, Paul, Savic, Natasa (2012)
Mathematica Balkanica New Series
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MSC 2010: 11B83, 05A19, 33C45 This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.
Marko D. Petković, Paul Barry, Predrag Rajković (2012)
Czechoslovak Mathematical Journal
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We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation...
Svante Janson, Jaak Peetre, Robert Wallstén (1989)
Studia Mathematica
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Jaak Peetre (1992)
Revista Matemática Iberoamericana
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Betancor, J.J. (1991)
International Journal of Mathematics and Mathematical Sciences
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Aline Bonami, Joaquim Bruna (1999)
Publicacions Matemàtiques
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We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.