Derivatives of integrating functions for orthonormal polynomials with exponential-type weights.
Jung, Hee Sun, Sakai, Ryozi (2009)
Journal of Inequalities and Applications [electronic only]
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Jung, Hee Sun, Sakai, Ryozi (2009)
Journal of Inequalities and Applications [electronic only]
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Verdoodt, Ann (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Branquinho, Amílcar (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Álvarez-Nodarse, R., Arvesú, J., Marcellán, F. (2004)
Journal of Applied Mathematics
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Ghressi, Abdallah, Khériji, Lotfi (2007)
Applied Mathematics E-Notes [electronic only]
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Ammar, Boukhemis, Ebtissem, Zerouki (2006)
International Journal of Mathematics and Mathematical Sciences
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Edoardo Ballico (2005)
Open Mathematics
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Fix integers n, x, k such that n≥3, k>0, x≥4, (n, x)≠(3, 4) and k(n+1)<(nn+x). Here we prove that the order x Veronese embedding ofP n is not weakly (k−1)-defective, i.e. for a general S⊃P n such that #(S) = k+1 the projective space | I 2S (x)| of all degree t hypersurfaces ofP n singular at each point of S has dimension (n/n+x )−1− k(n+1) (proved by Alexander and Hirschowitz) and a general F∈| I 2S (x)| has an ordinary double point at each P∈ S and Sing (F)=S.
Kucukaslan, M., Koşar, C., Abdullayev, F.G. (2010)
Journal of Inequalities and Applications [electronic only]
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František Púchovský (1998)
Mathematica Slovaca
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Marcellán, F., Petronilho, J. (1999)
Portugaliae Mathematica
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