A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product.
Fejzullahu, Bujar Xh., Marcellán, Francisco (2010)
Journal of Inequalities and Applications [electronic only]
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Fejzullahu, Bujar Xh., Marcellán, Francisco (2010)
Journal of Inequalities and Applications [electronic only]
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Fejzullahu, Bujar Xh. (2007)
Journal of Inequalities and Applications [electronic only]
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Wojciech Młotkowski (2010)
Banach Center Publications
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We study the nonnegative product linearization property for polynomials with eventually constant Jacobi parameters. For some special cases a necessary and sufficient condition for this property is provided.
Foulquié Moreno, Ana, Marcellán, Francisco, Osilenker, Boris P. (1999)
Journal of Inequalities and Applications [electronic only]
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Bruno Gabutti (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Marčoková, Mariana, Guldan, Vladimír
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In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.
Yadav, Sarjoo Prasad (2004)
International Journal of Mathematics and Mathematical Sciences
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Bernarda Aldana, Jairo Charris, Oriol Mora-Valbuena (1998)
Colloquium Mathematicae
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Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
Christophe Smet, Walter Van Assche (2009)
Acta Arithmetica
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H. L. Manocha (1974)
Matematički Vesnik
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H. L. Manocha, H. R. Sharma (1970)
Matematički Vesnik
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B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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