On the analytic solutions of the functional equations \(w_1f(a_1z)+w_2f(a_2)z+\dots+w_nf(a_nz=0)\)
type: Item
instance of: scholarly article
title: On the analytic solutions of the functional equations \(w_1f(a_1z)+w_2f(a_2)z+\dots+w_nf(a_nz=0)\)
zbMATH Open document ID: 1320.30048
author: J. M. Sepulcre
author: T. Vidal
published in: Mediterranean Journal of Mathematics
publication date: 2015-09-03T00:00:00Z
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 6478168
zbMATH Keywords: functional equations
zbMATH Keywords: exponential polynomials
MaRDI profile type: Publication
full work available at URL: s00009-014-0444-8
OpenAlex ID: W2483830207
cites work: Q5497251
cites work: Q5611178
cites work: Functional equations generating space-densifying curves
cites work: A note on the functional equation \(F(z)+F(2z)+ \cdots +F(nz)=0\)
cites work: On the distribution of zeros of a sequence of entire functions approaching the Riemann zeta function
cites work: The critical strips of the sums \(1+2^{z}+\cdots +n^{z}\)
cites work: The zeros of Riemann zeta partial sums yield solutions to \(f(x)+f(2x)+\cdots+f(nx)=0\)
cites work: ON SOME SOLUTIONS OF A FUNCTIONAL EQUATION RELATED TO THE PARTIAL SUMS OF THE RIEMANN ZETA FUNCTION
DOI: 10.1007/S00009-014-0444-8
Recommended article: The analytic solutions of the functional equations \(a_1f(\gamma_1 s) + a_2f(\gamma_2 s) + \cdots + a_nf(\gamma_n s) = h(s)\)
Recommended article: Q3622000
Recommended article: Q4314080
Recommended article: Q4715068
Recommended article: Q3976252
Recommended article: Q3709039
Recommended article: A note on the functional equation \(F(z)+F(2z)+ \cdots +F(nz)=0\)
Recommended article: Q3712859
Recommended article: Local analytic solutions of a functional differential equation \(\alpha z+\beta x'(z)= x(az+bx''(z))\)
Recommended article: Q4696131
description: scientific article; zbMATH DE number 6478168