Open AccessThe y function applied in the study of an anomalous diffusion
Author(s) -
XiaoJun Yang
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2106465y
Subject(s) - function (biology) , wright , hypergeometric function , diffusion , generalized hypergeometric function , mathematics , pure mathematics , mathematical physics , mathematical analysis , physics , computer science , thermodynamics , evolutionary biology , biology , programming language
In this article, we propose a new family of the extended analogues to the Y function for the first time. The relationships among the Y function, Fox H function, Meijer G function, Wright generalized hypergeometric function, and Clausen hypergeometric function are discussed in detail. This result is used to represent the solutions for the anomalous diffusion problems.