Summation of slowly convergent series
Banach Center Publications (1994)
- Volume: 29, Issue: 1, page 7-18
- ISSN: 0137-6934
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, NBS Appl. Math. Ser. 55, U.S. Government Printing Office, Washington, D.C., 1964.
- [2] J. Boersma and J. P. Dempsey, On the numerical evaluation of Legendre's chi-function, Math. Comp. 59 (1992), 157-163. Zbl0755.65003
- [3] W. J. Cody, Chebyshev approximations for the Fresnel integrals, Math. Comp. 22 (1968), 450-453. Loose microfiche suppl. A1-B4. Zbl0153.46802
- [4] W. J. Cody, K. A. Paciorek and H. C. Thacher, Jr., Chebyshev approximations for Dawson's integral, ibid. 24 (1970), 171-178. Zbl0194.47001
- [5] P. J. Davis, Spirals: from Theodorus to Chaos, AK Peters, Boston 1993. Zbl0940.00002
- [6] K. M. Dempsey, D. Liu and J. P. Dempsey, Plana’s summation formula for , , , , Math. Comp. 55 (1990), 693-703. Zbl0709.65003
- [7] B. Gabutti, personal communication, June 1991.
- [8] W. Gautschi, Minimal solutions of three-term recurrence relations and orthogonal polynomials, Math. Comp. 36 (1981), 547-554. Zbl0466.33008
- [9] W. Gautschi, Some applications and numerical methods for orthogonal polynomials, in: Numerical Analysis and Mathematical Modelling, A. Wakulicz (ed.), Banach Center Publ. 24, PWN-Polish Scientific Publishers, Warszawa 1990, 7-19.
- [10] W. Gautschi, Computational aspects of orthogonal polynomials, in: Orthogonal Polynomials - Theory and Practice, P. Nevai (ed.), NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci. 294, Kluwer, Dordrecht 1990, 181-216.
- [11] W. Gautschi, A class of slowly convergent series and their summation by Gaussian quadrature, Math. Comp. 57 (1991), 309-324. Zbl0739.40002
- [12] W. Gautschi, On certain slowly convergent series occurring in plate contact problems, ibid. 57 (1991), 325-338. Zbl0739.40003
- [13] W. Gautschi and G. V. Milovanović, Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series, ibid. 44 (1985), 177-190. Zbl0576.65011
- [14] E. Hlawka, Gleichverteilung und Quadratwurzelschnecke, Monatsh. Math. 89 (1980), 19-44.
- [15] J. Wimp, Sequence Transformations and Their Application, Math. Sci. Engrg. 154, Academic Press, New York 1981. Zbl0566.47018