Basic Properties of Incomplete Macdonald Function with Applications. (22nd October 2020)

• Record Type: Journal Article
• Authors: Shu, Jian-Jun; Shastri, Kunal Krishnaraj
• Other Names: Urbina Wilfredo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-10-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/6548298
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The incomplete version of the Macdonald function has various appellations in literature and earns a well-deserved reputation of being a computational challenge. This paper ties together the previously disjoint literature and presents the basic properties of the incomplete Macdonald function, such as recurrence and differential relations and series and asymptotic expansions. This paper also shows that the incomplete Macdonald function, as a simple closed-form expression, is a particular solution to a parabolic partial differential equation, which arises naturally in a wide variety of transient and diffusion-related phenomena.