Degenerate exponential integral function and its properties

Abstract

PurposeIn this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties established are analogous to those satisfied by the classical function.Design/methodology/approachThe methods adopted in establishing the results are theoretical in nature.FindingsA degenerate exponential integral function which is a generalization of the classical exponential integral function has been introduced and its properties investigated. Upon taking some limits, the established results reduce to results involving the classical exponential integral function.Originality/valueThe results obtained in this paper are new and have the potential of inspiring further research on the subject.