Validated Evaluation of Special Mathematical Functions
Proceedings of the 9th AISC international conference, the 15th Calculemas symposium, and the 7th international MKM conference on Intelligent Computer Mathematics
Algorithm 895: A continued fractions package for special functions
ACM Transactions on Mathematical Software (TOMS)
Continued Fractions for Special Functions: Handbook and Software
Numerical Validation in Current Hardware Architectures
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Numerical Validation in Current Hardware Architectures
Analytical solutions for state-dependent M/M/c/c+r retrial queues with Bernoulli abandonment
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
Inequalities and monotonicity of ratios for generalized hypergeometric function
Journal of Approximation Theory
MetiTarski: An Automatic Theorem Prover for Real-Valued Special Functions
Journal of Automated Reasoning
Journal of Approximation Theory
A q-enumeration of alternating permutations
European Journal of Combinatorics
Padé approximation and continued fractions
Applied Numerical Mathematics
Performance analysis of Cooley-Tukey FFT algorithms for a many-core architecture
SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference
Validated computation of certain hypergeometric functions
ACM Transactions on Mathematical Software (TOMS)
The multivariate Watson distribution: Maximum-likelihood estimation and other aspects
Journal of Multivariate Analysis
A method of convergence acceleration of some continued fractions II
Numerical Algorithms
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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!