peer reviewedIt is proven that the Taylor series of functions holomorphic in $\C_{\infty} \setminus \{1\}$ generically have certain universality properties on small sets outside the unit disk. Moreover, it is shown that such sets necessarily are polar sets
It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ i...
Beise, T. Meyrath and J. Müller It is known that, generically, Taylor series of functions holomorph...
It is known that, for any simply connected proper subdomain Omega of the complex plane and any point...
AbstractIt is proven that the Taylor series of functions holomorphic in C∞∖{1} generically have cert...
A holomorphic function f on a simply connected domain Ω is said to possess a universal Taylor series...
A holomorphic function on a planar domain Ω is said to possess a universal Taylor series about a poi...
Given a sequence = (r n) n ∈ [0, 1) tending to 1, we consider the set U A (D,) of Abel universal ser...
It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ i...
peer reviewedIt is known that, generically, Taylor series of functions holomorphic in a simply conne...
Let Ω be a simply connected proper subdomain of the complex plane and z0 be a point in Ω. It is know...
We are interested in functions analytic in the unit disc D of the complex plane C with a wild behavi...
Given a sequence = (r n) n $\in$ [0, 1) tending to 1, we consider the set U A (D,) of Abel universal...
In this note, the universality of a sequence of operators associated to the partial sums of the Tayl...
AbstractLet Ω be a simply connected proper subdomain of the complex plane and z0 be a point in Ω. It...
The known proofs for universal Taylor series do not determine a specific universal Taylor series. I...
It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ i...
Beise, T. Meyrath and J. Müller It is known that, generically, Taylor series of functions holomorph...
It is known that, for any simply connected proper subdomain Omega of the complex plane and any point...
AbstractIt is proven that the Taylor series of functions holomorphic in C∞∖{1} generically have cert...
A holomorphic function f on a simply connected domain Ω is said to possess a universal Taylor series...
A holomorphic function on a planar domain Ω is said to possess a universal Taylor series about a poi...
Given a sequence = (r n) n ∈ [0, 1) tending to 1, we consider the set U A (D,) of Abel universal ser...
It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ i...
peer reviewedIt is known that, generically, Taylor series of functions holomorphic in a simply conne...
Let Ω be a simply connected proper subdomain of the complex plane and z0 be a point in Ω. It is know...
We are interested in functions analytic in the unit disc D of the complex plane C with a wild behavi...
Given a sequence = (r n) n $\in$ [0, 1) tending to 1, we consider the set U A (D,) of Abel universal...
In this note, the universality of a sequence of operators associated to the partial sums of the Tayl...
AbstractLet Ω be a simply connected proper subdomain of the complex plane and z0 be a point in Ω. It...
The known proofs for universal Taylor series do not determine a specific universal Taylor series. I...
It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ i...
Beise, T. Meyrath and J. Müller It is known that, generically, Taylor series of functions holomorph...
It is known that, for any simply connected proper subdomain Omega of the complex plane and any point...
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