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Ratio asymptotics and quadrature formulas

Constructive Approximation, 1997
Suppose \(p_n\) \((n=0,1,2,\ldots)\) is a sequence of orthogonal polynomials on the real line, satisfying a three-term recurrence relation \(tp_n(t) = a_{n+1}p_{n+1}(t)+b_np_n(t)+a_np_{n-1}(t)\). The author gives a method for obtaining the asymptotic behaviour of the ratio \(s_n(z)/p_n(z)\) for a comparison sequence \(s_n\) \((n=0,1,2,\ldots)\) of ...
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Explicit Formulas and Asymptotics

2003
So far we have concentrated mainly on subgroup growth type, a rough-and-ready estimate for the rate of growth of a n (G). In the last three chapters of the book, we take a closer look at the numbers a n (G) themselves. Of course, the detailed arithmetical and asymptotic properties of this sequence will depend on the nature of the groups G under ...
Alexander Lubotzky, Dan Segal
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A converse of asymptotic formulae in simultaneous approximation

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Garrancho, D. Cárdenas-Morales
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On an asymptotic formula in partitions

Proceedings of the Indian Academy of Sciences - Section A, 1942
Not ...
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An asymptotic formula for bessel functions

USSR Computational Mathematics and Mathematical Physics, 1964
Vilenkin, N. Ya., Tsukerman, V. V.
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An Asymptotic Formula in the Theory of Numbers