Generating functions for Jacobi and Laguerre polynomials
H. L. Manocha (1974)
Matematički Vesnik
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H. L. Manocha (1974)
Matematički Vesnik
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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.
H. L. Manocha, H. R. Sharma (1970)
Matematički Vesnik
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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.
B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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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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McCarthy, Paul J. (1961)
Portugaliae mathematica
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A. M. Chak (1970)
Matematički Vesnik
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A. M. Chak (1970)
Matematički Vesnik
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