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- Wolfgang Gawronski, Jürgen Müller, Martin Reinhard
- SIAM J. Numerical Analysis
- 2007

A general concept for the reduction of cancellation problems in the evaluation of Taylor sections of certain entire functions is proposed. The resulting method is applied to and tested in the case of… (More)

QueAtioni oi con&tnained on. weighted polynomial approximation an.e clo&ely related to orthogonal polynomials with degree dependent weight functions, and various of it& asymptotic. properties.… (More)

Generalizing classical and recent results for Jacobi polynomials P (� n,�n) n (z), strong asymptotics are established as n → ∞ where, in contrast to the standard situation, the real parametersn, �n… (More)

- George E. Andrews, Wolfgang Gawronski, Lance L. Littlejohn
- Discrete Mathematics
- 2011

The Legendre-Stirling numbers are the coefficients in the integral Lagrangian symmetric powers of the classical Legendre second-order differential expression. In many ways, these numbers mimic the… (More)

Abstract Supplementing and extending classical and recent results strong asymptotics for the Laguerre polynomials L n ( α n ) are established, as n → ∞, when the parameter α n depends on the degree n… (More)

- Andrea van Aubel, Wolfgang Gawronski
- Applied Mathematics and Computation
- 2003

A survey of analytic properties of the noncentral @g^2"n(@l), F"n"""1","n"""2(@l), and student's t"m(@l) distributions is given. Emphasis is put on unimodality problems and in particular the modes of… (More)

We prove a conjecture by Brown, Dilcher and Manna on the asymptotic behavior of sparse binomial-type polynomials arising naturally in a graph-theoretical context in connection with the expected… (More)

ix(n) being Môbius' function. Hoischen [3] proved that (L) C (A) in fact is equivalent to the convergence of X)? \N(n)\n~, and this is somewhat deeper than the prime number theorem. (In number theory… (More)