Generalized incomplete gamma functions with applications
Journal of Computational and Applied Mathematics
Asymptotics and closed form of a generalized incomplete gamma function
Journal of Computational and Applied Mathematics
Computation of Exponential Integrals
ACM Transactions on Mathematical Software (TOMS)
Algorithm 556: Exponential Integrals [S13]
ACM Transactions on Mathematical Software (TOMS)
On Temme's Algorithm for the Modified Bessel Function of the Third Kind
ACM Transactions on Mathematical Software (TOMS)
Applied Numerical Mathematics
The β-Birnbaum-Saunders distribution: An improved distribution for fatigue life modeling
Computational Statistics & Data Analysis
The Generalized Incomplete Gamma Function as sum over Modified Bessel Functions of the First Kind
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
Functions characterized by the alternative appelations in the title hereof have application in areas as diverse as heat conduction, probability theory, electronic structure in periodic systems, and hydrology. These functions are regarded as difficult to evaluate and have been given attention by a number of investigators in all these fields. This communication ties together the previously disjoint literature, and presents several new expansions of these functions that are in various parameter ranges computationally more efficient than any of the previously proposed methods of evaluation. A new formula for computation of these functions from nearby tabulated values is also reported. The computational advantages of the new procedures are illustrated with examples.