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Numerical tests show that the MATLAB algorithm allows the computation of the function with$\\sim 10^{-14}$<\/jats:tex-math>\u223c<\/mml:mo>1<\/mml:mn>0<\/mml:mn><\/mml:mrow>\u2212<\/mml:mo>14<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>relative accuracy in the parameter region (a<\/jats:italic>,b<\/jats:italic>,x<\/jats:italic>) \u2208 (0,500) \u00d7 (0,500) \u00d7 (0,1000) in double-precision floating point arithmetic.<\/jats:p>","DOI":"10.1007\/s11075-023-01515-y","type":"journal-article","created":{"date-parts":[[2023,3,27]],"date-time":"2023-03-27T03:23:04Z","timestamp":1679887384000},"page":"669-679","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments"],"prefix":"10.1007","volume":"94","author":[{"given":"Amparo","family":"Gil","sequence":"first","affiliation":[]},{"given":"Diego","family":"Ruiz-Antol\u00edn","sequence":"additional","affiliation":[]},{"given":"Javier","family":"Segura","sequence":"additional","affiliation":[]},{"given":"Nico M.","family":"Temme","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,3,22]]},"reference":[{"key":"1515_CR1","doi-asserted-by":"crossref","unstructured":"Felsen, L.B., Marcuvitz, N.: Radiation and scattering of waves. 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