Generating function and orthogonality property of a class of polynomials occurring in quantum mechanics
S.D. Bajpai (1994)
Annales mathématiques Blaise Pascal
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Displaying similar documents to “On the arrangement of coefficients of ultraspherical polynomials”
Generating function and orthogonality property of a class of polynomials occurring in quantum mechanics
Operational formulae for certain classical polynomials - II
Santi Kumar Chatterjea (1963)
Rendiconti del Seminario Matematico della Università di Padova
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A new expression for Tchebychev polynomials
Yahya, Q.A.M.M. (1965)
Portugaliae mathematica
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On some polynomials of Tricomi.
Leonard Carlitz (1958)
Bollettino dell'Unione Matematica Italiana
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A new exceptional polynomial for the integer transfinite diameter of
Qiang Wu (2003)
Journal de théorie des nombres de Bordeaux
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Using refinement of an algorithm given by Habsieger and Salvy to find integer polynomials with smallest sup norm on [0, 1] we extend their table of polynomials up to degree 100. For the degree 95 we find a new exceptionnal polynomial which has complex roots. Our method uses generalized Müntz-Legendre polynomials. We improve slightly the upper bound for the integer transfinite diameter of [0, 1] and give elementary proofs of lower bounds for the exponents of some critical polynomials. ...
A note on Legendre polynomials
S. K. Chatterjea (1960)
Rendiconti del Seminario Matematico della Università di Padova
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On the degrees of irreducible factors of higher order Bernoulli polynomials
Arnold Adelberg (1992)
Acta Arithmetica
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