1985/01/01 by Michael Milgram · 1 citation
Mathematics · Decision Sciences · #Iterative Methods for Nonlinear Equations #Probabilistic and Robust Engineering Design #Advanced Optimization Algorithms Research #Mathematics #Exponential function #Exponential integral #Applied mathematics #Minimax #Incomplete gamma function #Function (biology) #Computation #Exponential formula #Order (exchange) #Gamma function #Double exponential function #Calculus (dental) #Mathematical analysis #Mathematical optimization #Integral equation #Line integral #Algorithm
paper · doi:10.1090/s0025-5718-1985-0777276-4
openalex publication_date 1985/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
The generalized integro-exponential function is defined in terms of the exponential integral (incomplete gamma function) and its derivatives with respect to order. A compendium of analytic results is given in one section. Rational minimax approximations sufficient to permit the computation of the first six first-order functions are reported in another section.