Displaying similar documents to “An upper bound for the h-range of the postage stamp problem”

Dickson Polynomials that are Permutations

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.

A bound on the Laguerre polynomials

Antonio Duran (1991)

Studia Mathematica

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We give the following bounds on Laguerre polynomials and their derivatives (α ≥ 0): | t k d p ( L n α ( t ) e - t / 2 ) | ≤ 2 - m i n ( α , k ) 4 k ( n + 1 ) . . . ( n + k ) ( n + p + m a x ( α - k , 0 ) n ) for all natural numbers k, p, n ≥ 0 and t ≥ 0. Also, we give (as the main result of this paper) a technique to estimate the order in k and p in bounds similar to the previous ones, which will be used to see that the estimate on k and p in the previous bounds is sharp and to give an estimate on k and p in other bounds on the Laguerre polynomials proved by Szegö.