2013/03/22 by Ahmed Salem · 2 citations
Mathematics · #Basic hypergeometric series #Confluent hypergeometric function #Generalized hypergeometric function #Hypergeometric function #Hypergeometric function of a matrix argument #Lauricella hypergeometric series #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Matrix (chemical analysis) #Matrix function #Physics #Pure mathematics #Symmetric matrix
paper · doi:10.1080/03081087.2013.777437
openalex publication_date 2013/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
In this paper, the basic Gauss hypergeometric matrix function is introduced and studied. The ratio test is used to determine the radius of convergence in which this matrix function is absolutely convergent. The domains in which the basic Gauss hypergeometric matrix function is invertible and its -derivative is bounded are determined. Hypergeometric matrix -difference equation is introduced and two solutions to this equation are found as terms of basic Gauss hypergeometric matrix function. The -integral representation for this matrix function is established.