Linear independence of certain numbers
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DOI: 10.1007/s00013-018-1271-0
Abstract: Let $$k\ge 2$$k≥2, $$b\ge 2$$b≥2 and $$1\le a_1 read more here.
Keywords: sum infty; certain numbers; independence certain; linear independence ... See more keywords
A Derivative-Hilbert Operator Acting on the Bloch Space
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DOI: 10.1007/s11785-021-01135-1
Abstract: Let $$\mu $$ be a positive Borel measure on the interval [0,1). Suppose $${\mathcal {H}}_\mu $$ is the Hankel matrix $$(\mu _{n,k})_{n,k\ge 0}$$ with entries $$\mu _{n,k}=\mu _{n+k}$$ , where $$\mu _n=\int _{[0,1)}t^nd\mu (t)$$ .… read more here.
Keywords: sum infty; operator; derivative hilbert; space ... See more keywords
The Capacity of Sets of Divergence of Certain Taylor Series on the Unit Circle
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DOI: 10.1007/s40315-019-00266-z
Abstract: A simple and direct proof is given of a generalization of a classical result on the convergence of $$\sum _{k=0}^\infty a_k \text{ e }^{i k x}$$∑k=0∞akeikx outside sets of x of an appropriate capacity zero,… read more here.
Keywords: sum infty; infty alpha; unit; capacity ... See more keywords