On associated homogeneous Gelfand functions

• Published in: St. Petersburg Polytechnical University Journal. Physics and Mathematics Vol. 17; no. 2
• Main Authors: Berdnikov Alexander, Bulyanitsa Anton, Solovyev Konstantin
• Format: Journal Article
• Language: English
• Published: Peter the Great St.Petersburg Polytechnic University 01.06.2024
• Subjects: associated homogeneous gelfand functions; homogeneous euler function; recurrent linear functional relations

The paper proposes refined definitions for associated homogeneous functions (AHFs) of real variables, which are of great practical importance for a wide range of problems. I. M. Gelfand and Z. Ya. Shapiro were the first in 1955 to introduce AHFs into scientific use. However, the possibilities of usi...