RT Journal Article
T1 Stieltjes analytic functions and higher order linear differential equations
A1 Cora Calvo, Victor
A1 Fernández Fernández, Francisco Javier
A1 Fernández Tojo, Fernando Adrián
K1 Stieltjes derivative
K1 Analytic functions
K1 Higher order linear differential equations
K1 Exponential
K1 Stieltjes polynomials
AB In this work we develop a theory of Stieltjes-analytic functions. We first define the Stieltjes monomials and polynomials and we study them exhaustively. Then, we introduce the g-analytic functions locally, as an infinite series of these Stieltjes monomials and we study their properties in depth and how they relate to higher order Stieltjes differentiation. We define the exponential series and prove that it solves the first order linear problem. Finally, we apply the theory to solve higher order linear homogeneous Stieltjes differential equations with constant coefficients
PB Elsevier
YR 2023
FD 2023
LK http://hdl.handle.net/10347/30621
UL http://hdl.handle.net/10347/30621
LA eng
NO Journal of Mathematical Analysis and Applications 526 (2023) 127259
NO The authors were partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain and by the European Community fund FEDER under grant MTM2016-75140-P
DS Minerva
RD 24 abr 2026