ScholarLens Back to search
2019•Journal of Physics Conference SeriesOpen access

The generalization of shift operator related Bessel differential operator

L. E. Britvina, V V Ignatenko

Open full text 1 citations

Abstract

Abstract We introduce the generalized shift operator related to the Bessel differential operator and the Hankel integral transform. It generalizes the operator introduced by J Delsarte and studied by J. Delsarte, B.M. Levitan and Ya.I. Zhitomirskii. The considered operator is not the generalized shift operator of the Levitan’s type. The basic properties of the shift operator are proved. The visualization of shift action is given.

Open-access reader

About this research paper

What this paper is about

Abstract We introduce the generalized shift operator related to the Bessel differential operator and the Hankel integral transform. It generalizes the operator introduced by J Delsarte and studied by J. Delsarte, B.M. Levitan and Ya.I. Zhitomirskii. The considered operator is not the generalized shift operator of the Levitan’s type. The basic properties of the shift operator are proved. The visualization of shift action is given.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract We introduce the generalized shift operator related to the Bessel differential operator and the Hankel integral transform. It generalizes the operator introduced by J Delsarte and studied by J. Delsarte, B.M. Levitan and Ya.I. Zhitomirskii. The considered operator is not the generalized shift operator of the Levitan’s type. The basic properties of the shift operator are proved. The visualization of shift action is given.

Key concepts: Shift operator, Semi-elliptic operator, Operator (biology), Displacement operator, Bessel function, Mathematics, Finite-rank operator, Differential operator

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The generalization of shift operator related Bessel differential operator — Research Paper | ScholarLens