Functions and Analysis

2204 Submissions

[2] viXra:2204.0156 [pdf] submitted on 2022-04-26 03:21:14

Briefly About the Notion of a Quaternionic Holomorphic Function

Authors: Michael Parfenov
Comments: 6 Pages.

The so-called essentially adequate notion of quaternionic holomorphy is briefly considered. This calls into question the known statement of R. Penrose that there is no satisfactory quaternionic analogue of the notion of a holomorphic function.
Category: Functions and Analysis

[1] viXra:2204.0014 [pdf] submitted on 2022-04-02 03:11:25

Asymptotics of Solutions of Differential Equations with a Spectral Parameter

Authors: Vjacheslav A. Yurko
Comments: 17 Pages.

The main goal of this paper is to construct the so-called Birkhoff-type solutions for linear ordinary differential equations with a spectral parameter. Such solutions play an important role in direct and inverse problems of spectral theory. In Section 1, we construct the Birkhoff-type solutions for n-th order differential equations. Section 2 is devoted to first-order systems of differential equations.
Category: Functions and Analysis