CONHYP
swMATH ID:  152 
Software Authors:  Nardin, Mark; Perger, W.F.; Bhalla, Atul 
Description:  Algorithm 707: CONHYP: A numerical evaluator of the confluent hypergeometric function for complex arguments of large magnitudes A numerical evaluator for the confluent hypergeometric function for complex arguments with large magnitudes using a direct summation of Kummer’s series is presented. Extended precision subroutines using large arrays to accumulate a single numerator and denominator are ultimately used in a single division to arrive at the final result. The accuracy has been verified through a variety of tests and they show the evaluator to be consistently accurate to 13 significant figures, and on rare occasion accurate to only 9 for magnitudes of the arguments ranging into the thousands in any quadrant in the complex plane. Because the evaluator automatically determines the number of significant figures of machine precision, and because it is written in FORTRAN 77, tests on various computers have shown the evaluator to provide consistently accurate results, making the evaluator very portable. The principal drawback is that, for certain arguments, the evaluator is slow; however, the evaluator remains valuable as a benchmark even in such cases. 
Homepage:  http://www.ece.mtu.edu/faculty/wfp/articles/acm_trans_math_soft.pdf 
Related Software:  DLMF; FastGaussQuadrature; libcwfn; NumExp; Cephes; BIZ; AIZ; Algorithm 831; Matlab; Mathematica; SciPy; GSL; mpmath; Maple 
Cited in:  4 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 707: CONHYP: A numerical evaluator of the confluent hypergeometric function for complex arguments of large magnitudes. Zbl 0892.65010 Nardin, Mark; Perger, W. F.; Bhalla, Atul 
1992

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top 5
Cited by 11 Authors
Cited in 3 Serials
1  ACM Transactions on Mathematical Software 
1  Applied Mathematics and Computation 
1  Numerical Algorithms 
Cited in 4 Fields
4  Special functions (33XX) 
2  Numerical analysis (65XX) 
1  Approximations and expansions (41XX) 
1  Computer science (68XX) 