RUI:  A Numerical Evaluation of the Confluent HypergeometricFunction with Large, Complex Arguments
{'Code': '05010200', 'Directorate': {'Abbreviation': 'CSE', 'LongName': 'Direct For Computer & Info Scie & Enginr'}, 'Division': {'Abbreviation': 'CCF', 'LongName': 'Division of Computing and Communication Foundations'}}
{'SignBlockName': 'S. Kamal Abdali', 'PO_EMAI': None, 'PO_PHON': None}
ABSTRACT                                                                                                                                                        This investigation utilizes a new approach for evaluating the                   confluent hypergeometric function for a wide range of arguments                 both real and complex.  The approach consist of the direct                      summation of Kummer's series and extension of the computing                     machine precision to control overflow.  This direct approach                    8seems promising for the accurate evaluation of the entire subset               of special case functions:  Bessel functions, Coulomb functions,                Laguerre polynomials, etc.  The goals of the research are to:                   determine the absolute accuracy of the method; make the function                evaluator as robust as possible; ensure the portability of the                  evaluator; and vectorize the function evaluator algorithm to                    achieve computation times competitive with existing evaluators.                 Because a wide range of complex arguments are now possible, this                function evaluator will be an accurate, versatile, and portable                 package applicable to a wide spectrum of problems in science and                engineering.  In addition, the approach used to control overflow                in the complex arithematic may be applicable to a broader class                 of problems requiring the summation of a power series.
{'FirstName': 'Warren', 'LastName': 'Perger', 'PI_MID_INIT': 'F', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Warren F Perger', 'EmailAddress': 'wfp@mtu.edu', 'NSF_ID': '000339541', 'StartDate': '09/01/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Michigan Technological University', 'CityName': 'HOUGHTON', 'ZipCode': '499311200', 'PhoneNumber': '9064871885', 'StreetAddress': '1400 TOWNSEND DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Michigan', 'StateCode': 'MI', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'MI01', 'ORG_UEI_NUM': 'GKMSN3DA6P91', 'ORG_LGL_BUS_NAME': 'MICHIGAN TECHNOLOGICAL UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'GKMSN3DA6P91'}
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{'Code': '9120', 'Text': 'CROSS-DIRECTORATE PROGRAMS'}
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