A quadrature formula for entire functions of exponential type
HTML articles powered by AMS MathViewer
- by Qazi Ibadur Rahman and Gerhard Schmeisser PDF
- Math. Comp. 63 (1994), 215-227 Request permission
Abstract:
A quadrature formula over a semi-infinite interval for entire functions of exponential type is established. An alternative approach to a known expansion formula and an extension of it are also presented.References
- Ralph Philip Boas Jr., Entire functions, Academic Press, Inc., New York, 1954. MR 0068627
- R. P. Boas Jr., Summation formulas and band-limited signals, Tohoku Math. J. (2) 24 (1972), 121–125. MR 330915, DOI 10.2748/tmj/1178241524
- Ralph P. Boas Jr. and R. Creighton Buck, Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 19, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094466
- C. Frappier and Q. I. Rahman, Une formule de quadrature pour les fonctions entières de type exponentiel, Ann. Sci. Math. Québec 10 (1986), no. 1, 17–26 (French). MR 841119
- I. S. Gradstein and I. M. Ryshik, Summen-, Produkt- und Integraltafeln. Band 1, 2, German and English dual language edition, Verlag Harri Deutsch, Thun, 1982. Translation from the Russian edited by Ludwig Boll; Based on the second German-English edition translated by Christa Berg, Lothar Berg and Martin Strauss; Incorporating the fifth Russian edition edited by Yu. V. Geronimus and M. Yu. Tseĭtlin. MR 671418
- Peter Henrici, Applied and computational complex analysis, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. Volume 1: Power series—integration—conformal mapping—location of zeros. MR 0372162
- Peter Henrici, Applied and computational complex analysis. Vol. 2, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1977. Special functions—integral transforms—asymptotics—continued fractions. MR 0453984 E. Lindelöf, Le calcul des résidus, Chelsea, New York, 1947.
- Qazi I. Rahman and Gerhard Schmeisser, Quadrature formulae and functions of exponential type, Math. Comp. 54 (1990), no. 189, 245–270. MR 990602, DOI 10.1090/S0025-5718-1990-0990602-8 G. Schmeisser and H. Schirmeier, Praktische Mathematik, de Gruyter, Berlin, 1976.
- Frank Stenger, Integration formulae based on the trapezoidal formula, J. Inst. Math. Appl. 12 (1973), 103–114. MR 381261
- Frank Stenger, Numerical methods based on Whittaker cardinal, or sinc functions, SIAM Rev. 23 (1981), no. 2, 165–224. MR 618638, DOI 10.1137/1023037
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Math. Comp. 63 (1994), 215-227
- MSC: Primary 65D30; Secondary 30D99, 65D32
- DOI: https://doi.org/10.1090/S0025-5718-1994-1234427-0
- MathSciNet review: 1234427