TY - JOUR
TI - Selberg-Type Generalized Quadratic Forms Gamma and Beta Integrals
PY - 2017/07/11
Y2 - 2024/07/21
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 10
IS - 4
LA - en
UR - https://ejpam.com/index.php/ejpam/article/view/3075
SP - 614-619
AB - Although Selberg-type single positive deï¬nite symmetric matrices gamma and beta integrals have been evaluated by several authors, see e.g., Askey and Richards [1], Gupta and Kabe [2, 4], Mathai [8], and elsewhere in the vast multivariate statistical analysis literature. However, several other types of Selberg-type integrals appear to have been neglected in the literature. Thus e.g., Selberg-type integrals associated with inverse Wishart densities, inverse multivariate beta densities, their noncentral counterparts, etc, have not been explored as yet. The present paper records Selberg-type generalized quadratic forms gamma and beta integrals. Our methodology is based on hypercomplex (HC) multivariate normal distribution theory, Kabe [6].
ER -