High-precision evaluation of the Bessel functions via Hadamard series

Journal of Computational and Applied Mathematics

Volumn 224, Issue 1, 2009, Pages 84-100

  Paris, R B ^a  

^a UNIVERSITY OF ABERTAY DUNDEE   (United Kingdom)

Author keywords

Bessel functions; Confluent hypergeometric functions; Hadamard series; Hyperasymptotics

Indexed keywords

ASYMPTOTIC ANALYSIS; BESSEL FUNCTIONS; CODES (SYMBOLS); DIFFERENCE EQUATIONS; HARMONIC ANALYSIS; NUMBER THEORY; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION; SET THEORY;

ASYMPTOTIC EXPANSIONS; COMPLEX ARGUMENTS; CONFLUENT HYPERGEOMETRIC FUNCTIONS; GEOMETRIC RATES; HADAMARD; HADAMARD SERIES; HYPERASYMPTOTICS; INCOMPLETE GAMMA FUNCTIONS; MATHEMATICAL PHYSICS; NUMERICAL EXAMPLES; ORDINAL NUMBERS; PRECISION EVALUATIONS; RAPIDLY CONVERGENT SERIES; REAL VARIABLES; SMOOTHING FACTORS; SPECIAL FUNCTIONS;

FUNCTION EVALUATION;

EID: 56449089067     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.04.025     Document Type: Article

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