Convergence acceleration of Taylor sections by convolution

Constructive Approximation

Volumn 15, Issue 4, 1999, Pages 523-536

  Muller J ^a  

^a UNIVERSITY OF TRIER   (Germany)

Author keywords

Computation of special functions; Convergence acceleration; Convolution; Hadamard product

Indexed keywords

EID: 0033238932     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900120     Document Type: Article

References (16)

1. M. ABRAMOWITZ, I. A. STEGUN, eds. (1964): Handbook of Mathematical Functions. Washington, DC: National Bureau of Standards.
2. v(x), x ≥ 0, v ≥ 0. ACM Trans. Math. Software, 3:76-92.
3. D. GAIER (1987): Lectures on Complex Approximation. Boston: Birkhäuser.
4. W. GAUTSCHI (1979): A computational procedure for incomplete gamma functions. ACM Trans. Math. Software, 5:466-481.
5. K.-G. GROSSE-ERDMANN (1993): On the Borel-Okada theorem and the Hadamard multiplication theorem. Complex Variables, 22:101-112.
6. P. HENRICI (1986): Applied and Computational Complex Analysis, vol. III. New York: Wiley.
7. E. HILLE (1987): Analytic Function Theory, vol. II, 2nd ed. New York: Chelsea.
8. J. MÜLLER (1995): Convergence acceleration of polynomial expansions for finite order entire functions. Trier: Habilitationsschrift.
9. F. W. J. OLVER (1974): Introduction to Asymptotics and Special Functions. New York: Academic Press.
10. R. E. POWELL, S. M. SHAW (1972): Summability Theory and its Applications. London: Van Nostrand.
11. J. R. RICE (1971): The degree of convergence for entire functions. Duke Math. J., 38:429-440.
12. T. J. RIVLIN (1974): The Chebyshev Polynomials. New York: Wiley.
13. W. RUDIN (1987): Real and Complex Analysis, 3rd ed. New York: McGraw-Hill.
14. J. L. WALSH (1969): Interpolation and Approximation by Rational Functions in the Complex Domain, 5th ed. Providence, RI: Amer. Math. Soc. Colloq. Publ.
15. P. WILD (1987): Accelerating the convergence of power series of certain entire functions. Numer. Math., 51:583-595.
16. T. WINIARSKI (1970): Approximation and interpolation of entire functions. Ann. Polon. Math., 23:259-273.