Confluent Hypergeometric Function Irregular Singularities
Ilir F. Progri · Journal of Geolocation Geo-information and Geo-intelligence · 2021
Use in connection with any form of information storage and retrieval, electronic adaptation, computer software or by similar or dissimilar methodology now known or hereafter developed is forbidden.The use of the publication of trade names, trademarks, service marks, or similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.The computation of the confluent hypergeometric function irregular singularities is performed in this paper.It is determined that the irregular singularities of the confluent hypergeometric function are exactly the same as those of the exponential function.The computation of the confluent hypergeometric function is performed by the Gauss power series expansion and by the incomplete Gamma function expansion.In both cases the computation of the confluent hypergeometric function irregular singularities results in identical analytical and numerical results.I strongly recommend that MATLAB modify the hypergeom and enable the correct computation of the irregular singularities of the confluent hypergeometric function.