A characterization of holomorphic bivariate functions of bounded index

DOI10.1515/MS-2017-0005zbMath1424.40032OpenAlexW2623093443MaRDI QIDQ5270940

Richard F. Patterson, Fatih Nuray

Publication date: 3 July 2017

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0005

zbMATH Keywords

double sequencesPringsheim limit pointRH-regular\(p\)-convergentdouble entire functions

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Power series, series of functions of several complex variables (32A05) Multiple sequences and series (40B05)

Related Items (15)

Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations ⋮ Analytic in a unit polydisc functions of bounded \(L\)-index in direction ⋮ Unnamed Item ⋮ Entire multivariate vector-valued functions of bounded \(\mathbf{L} \)-index: analog of Fricke's theorem ⋮ Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables ⋮ Analytic functions in the unit ball of bounded \(\mathbf L\)-index in joint variables and of bounded \(L\)-index in direction: a connection between these classes ⋮ Boundedness of \(L\)-index for the composition of entire functions of several variables ⋮ Entire functions of bounded L-index: its zeros and behavior of partial logarithmic derivatives ⋮ Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables ⋮ Analogs of Hayman's theorem and of logarithmic criterion for analytic vector-valued functions in the unit ball having bounded L-index in joint variables ⋮ Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ Unnamed Item ⋮ Bounded index and four dimensional summability methods ⋮ Boundedness of L-index in joint variables for composition of analytic functions in the unit ball ⋮ Entire bivariate functions of exponential type

Cites Work

• Analogues of some fundamental theorems of summability theory

This page was built for publication: A characterization of holomorphic bivariate functions of bounded index