All Research Papers Published In Computational Methods and Function Theory

Research Article
10.1007/s40315-024-00543-6

Korenblum’s Principle for Bergman Spaces with Radial Weights

May 18, 2024
Computational Methods and Function Theory
Iason Efraimidis + 2 more +2

We show that the Korenblum maximum (domination) principle is valid for weighted Bergman spaces Awp with arbitrary (non-negative and integrable) radial weights w in the case 1≤p<∞. We also notice that in every weighted Bergman space the supremum of all radii for which the principle holds is strictly smaller than one. Under the mild additional assumption lim infr→0+w(r)>00$$\\end{document}]]>, we show that the principle fails whenever 0<p<1.

Research Article
7
10.1007/s40315-024-00542-7

A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions

May 15, 2024
Computational Methods and Function Theory
Fangmei Sun + 2 more +2

Research Article
10.1007/s40315-024-00525-8

Distortion, Radius of Concavity and Several Other Radii Results for Certain Classes of Functions

Apr 12, 2024
Computational Methods and Function Theory
Bappaditya Bhowmik + 1 more +1

Research Article
2
10.1007/s40315-024-00524-9

On Row Differential Inequalities Related to Normality and Quasi-normality

Apr 08, 2024
Computational Methods and Function Theory
Tomer Manket + 1 more +1

Research Article
10.1007/s40315-024-00523-w

Normality Criterion Concerning Total Derivatives of Holomorphic Functions in $$ {\mathbb {C}}^n $$

Apr 03, 2024
Computational Methods and Function Theory
Molla Basir Ahamed + 1 more +1

Research Article
10.1007/s40315-024-00530-x

Nevanlinna Theory on Infinite Graphs

Mar 18, 2024
Computational Methods and Function Theory
Atsushi Atsuji + 1 more +1

Research Article
1
10.1007/s40315-024-00528-5

Near-Circularity in Capacity and Maximally Convergent Polynomials

Mar 13, 2024
Computational Methods and Function Theory
Hans-Peter Blatt

If f is a power series with radius R of convergence, R>1 1$$\\end{document}]]>, it is well-known that the method of Carathéodory–Fejér constructs polynomial approximations of f on the closed unit disk which show the typical phenomenon of near-circularity on the unit circle. Let E be compact and connected and let f be holomorphic on E. If pnn∈N is a sequence of polynomials converging maximally to f on E, it is shown that the modulus of the error functions f-pn is asymptotically constant in capacity on level lines of the Green’s function gΩ(z,∞) of the complement Ω of E in C¯ with pole at infinity, thereby reflecting a type of near-circularity, but without gaining knowledge of the winding numbers of the error curves with respect to the point 0.

Research Article
1
10.1007/s40315-023-00515-2

Almost Periodic Functions: Their Limit Sets and Various Applications

Dec 22, 2023
Computational Methods and Function Theory
Lev Sakhnovich

Research Article
2
10.1007/s40315-023-00509-0

On the Forms of Meromorphic Solutions of Some Type of Non-linear Differential Equations

Nov 11, 2023
Computational Methods and Function Theory
Huifang Liu + 1 more +1

Research Article
10.1007/s40315-023-00504-5

On the Teichmüller–Nitsche Problem of T. Iwaniec, L.V. Kovalev, and J. Onninen

Oct 17, 2023
Computational Methods and Function Theory
Daoud Bshouty + 1 more +1