Matrix transformations of generalized holomorphic Dirichlet series in a bounded \(\rho\)-convex domain
type: Item
instance of: scholarly article
title: Matrix transformations of generalized holomorphic Dirichlet series in a bounded \(\rho\)-convex domain
zbMATH Open document ID: 0973.30004
author: Trinh Dao Chien
published in: Vietnam Journal of Mathematics
publication date: 2001-11-29T00:00:00Z
review text: Let \(G\) be a bounded \(\rho\)-convex domain, \(0\in G\), \((\lambda_k)^\infty_{k=1}\) be a sequence of complex numbers in \(\mathbb{C}\), \(0<|\lambda_k|\to +\infty\) as \(k\to\infty\). It is considered a generalized Dirichlet series of type \[ \sum^\infty_{k=1}c_kE_\rho(\lambda_kz),\quad z\in G, \] where \(c_k\in\mathbb{C}\) and \(E_\varrho(z)\) is the Mittag-Leffler function. The author studies the matrix transformations of such Dirichlet series.
Mathematics Subject Classification ID: 30B50
Mathematics Subject Classification ID: 30D10
zbMATH DE Number: 1556459
zbMATH Keywords: holomorphic function
zbMATH Keywords: \(\rho\)-convex domain
zbMATH Keywords: Dirichlet series
zbMATH Keywords: Mittag-Leffler function
reviewed by: P. Z. Agranovich
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1556459