A note on Legendre polynomials
S. K. Chatterjea (1960)
Rendiconti del Seminario Matematico della Università di Padova
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S. K. Chatterjea (1960)
Rendiconti del Seminario Matematico della Università di Padova
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David Dickinson (1958)
Bollettino dell'Unione Matematica Italiana
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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.
Claude Brezinski (2002)
RACSAM
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This paper is an introduction to formal orthogonal polynomials and their application to Padé approximation, Krylov subspace methods for the solution of systems of linear equations, and convergence acceleration methods. Some more general formal orthogonal polynomials, and the concept of biorthogonality and its applications are also discussed.
B. B. Saha (1974)
Matematički Vesnik
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M.A. Pathan, M.A. Khan (1997)
Publications de l'Institut Mathématique
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S.D. Bajpai (1994)
Annales mathématiques Blaise Pascal
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Cipu, Mihai (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 11T06, 13P10. A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result. Research supported by the CERES program of the Ministry of Education, Research and Youth, contract nr. 39/2002.