Work

Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions

Year: 2014

Type: article

Abstract: We examine the series expansions of the solutions of the confluent Heun equation in terms of three different sets of the Kummer confluent hypergeometric functions. The coefficients of the expansions in general obey three-term recurrence relations defining double-sided infinite series; however, four-term and two-term relations are also possible in particular cases. The conditions for left- and/or right-side termination of the derived series are discussed.

Source: AIP Advances

DOI: 10.1063/1.4893997

Authors: T. A. Ishkhanyan, A. M. Ishkhanyan

Institutions: Moscow Institute of Physics and Technology, Institute for Physical Research

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,350

Funders: European Commission, Centre National de la Recherche Scientifique, State Committee of Science