@article{10902/29985, year = {2023}, url = {https://hdl.handle.net/10902/29985}, abstract = {An algorithm and a MATLAB implementation for computing the Kummer function U(a,b,x) and its derivative is given in this paper. The algorithm is efficient and accurate. Numerical tests show that the MATLAB algorithm allows the computation of the function with ?10?14 relative accuracy in the parameter region (a,b,x) ? (0,500) × (0,500) × (0,1000) in double-precision floating point arithmetic}, organization = {Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The authors acknowledge financial support from project PGC2018-098279-B-I00 funded by MCIN/ AEI /10.13039/501100011033/ FEDER “Una manera de hacer Europa” and PID2021-127252NB-I00 funded by MCIN/AEI/10.13039/501100011033/ FEDER, UE.}, publisher = {Springer}, publisher = {Numerical Algorithms, 2023, 94, 669-679}, title = {Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments}, author = {Gil Gómez, Amparo and Ruiz Antolín, Diego and Segura Sala, José Javier and Temme, Nicolaas Maria}, }