2023/04/11 by Chirre, Andrés, Dimitrov, Dimitar K., Quesada-Herrera, Emily +1
#30D15 #41A17 #42A38 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2304.05337
We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carathéodory--Fejér--Turán problem. The first variation imposes the additional requirement that the function is radially decreasing while the second one is a generalization which involves derivatives of the entire function. Various interesting inequalities, inspired by results due to Duffin and Schaeffer, Landau, and Hardy and Littlewood, are also established.