Very slowly varying functions
✍ Scribed by J. Marshall Ash; P. Erdös; L. A. Rubel
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 421 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0001-9054
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📜 SIMILAR VOLUMES
We characterize a class O⌸ q of nondecreasing slowly varying functions with the l property that if the difference L y L of two functions from this class is 1 2 nondecreasing, then it is slowly varying. The class O⌸ q is the restriction to l nondecreasing functions of the class O⌸ , well known in the
For functions g(z) satisfying a slowly varying condition in the complex plane, we find asymptotics for the Taylor coefficients of the function when :>0. As applications we find asymptotics for the number of permutations with cycle lengths all lying in a given set S, and for the number having unique
## Abstract We present reiteration formulae with limiting values __θ__ = 0 and __θ__ = 1 for a real interpolation method involving slowly varying functions. Applications to the Lorentz–Karamata spaces, the Fourier transform and the Riesz potential are given. In particular, our results yield improve