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- Math. Comp. 21 (1967), 501-522 Request permission
Corrigendum: Math. Comp. 22 (1968), 246-247.
References
- A. Fletcher, J. C. P. Miller, L. Rosenhead, and L. J. Comrie, An index of mathematical tables. Vol. I: Introduction. Part I: Index according to functions, 2nd ed., Published for Scientific Computing Service Ltd., London, by Addison-Wesley Publishing Co., Inc., Reading, Mass., 1962. MR 0142796 MTAC, v. 10, 1956, pp. 100–102, RMT 34.
- J. Arthur Greenwood and H. O. Hartley, Guide to tables in mathematical statistics, Princeton University Press, Princeton, N.J., 1962. MR 0154350 G. Chrystal, Textbook of Algebra, 6th ed., Chelsea, New York, 1952, Vol. II, p. 25. W. A. Whitworth, Choice and Chance, 5th ed., Bell, Cambridge and London, 1901, p. 107.
- John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0096594
- N. R. Goodman, Statistical analysis based on a certain multivariate complex Gaussian distribution. (An introduction), Ann. Math. Statist. 34 (1963), 152–177. MR 145618, DOI 10.1214/aoms/1177704250
- Karl Pearson (ed.), Tables of the incomplete beta-function, Published for the Biometrika Trustees by Cambridge University Press, London, 1968. Originally prepared under the direction of and edited by Karl Pearson; Second edition with a new introduction by E. S. Pearson and N. L. Johnson. MR 0226815 D. E. Amos & L. H. Koormans, Tables of the Distribution of the Coefficient Coherence for Stationary Bivariale Gaussian Processes, Sandia Corporation Monograph SCR-483, March 1963.
- R. A. Fisher, Contributions to Mathematical Statistics, John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1950. MR 0038601
- B. P. Bogert, Some roots of an equation involving Bessel functions, J. Math. Physics 30 (1951), 102–105. MR 0042775, DOI 10.1002/sapm1951301102
- Milton Abramowitz and Irene A. Stegun (eds.), Handbook of mathematical functions with formulas, graphs, and mathematical tables, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York; John Wiley & Sons, Inc., New York, 1984. Reprint of the 1972 edition; Selected Government Publications. MR 757537 Math. Comp., v. 20, 1966, pp. 469–470, MTE 393.
- Helmut F. Bauer, Tables of zeros of cross product Bessel functions \[ J_{p}^{\prime } (\xi )Y_{p}{}^{\prime } (k\xi ) -J_{p}{}^{\prime } (k\xi )Y_{p}{}^{\prime } (\xi )=0.\], Math. Comp. 18 (1964), 128–135. MR 158105, DOI 10.1090/S0025-5718-1964-0158105-5
- F. M. Henderson, Elliptic functions with complex arguments, University of Michigan Press for the University of Michigan Research Institute, Ann Arbor, Mich., 1960. MR 0147675
- A. Fletcher, J. C. P. Miller, L. Rosenhead, and L. J. Comrie, An index of mathematical tables. Vol. I: Introduction. Part I: Index according to functions, 2nd ed., Published for Scientific Computing Service Ltd., London, by Addison-Wesley Publishing Co., Inc., Reading, Mass., 1962. MR 0142796
- James Miller, John M. Gerhauser, and F. A. Matsen, Quantum chemistry integrals and tables, University of Texas Press, Austin, Tex., 1959. MR 0104482
- R. E. Barnhill and J. A. Wixom, Quadratures with remainders of minimum norm. I, Math. Comp. 21 (1967), 66–75. MR 223089, DOI 10.1090/S0025-5718-1967-0223089-0
- Y. T. Lo, S. W. Lee, and B. Sun, On Davis’ method of estimating quadrature errors, Math. Comp. 19 (1965), 133–138. MR 177508, DOI 10.1090/S0025-5718-1965-0177508-7
- W. G. Bickley, Formulae for numerical differentiation, Math. Gaz. 25 (1941), 19–27. MR 3580, DOI 10.2307/3606475 M. Abramowitz & I. A. Stegun, Editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965, p. 914. (See Math. Comp., v. 20, 1966, p. 167, RMT 1.)
- Walter Gautschi, On inverses of Vandermonde and confluent Vandermonde matrices, Numer. Math. 4 (1962), 117–123. MR 139627, DOI 10.1007/BF01386302
- R. T. Gregory, A method for deriving numerical differentiation formulas, Amer. Math. Monthly 64 (1957), 79–82. MR 83824, DOI 10.2307/2310380
- Lothar Collatz, The numerical treatment of differential equations. 3d ed, Die Grundlehren der mathematischen Wissenschaften, Band 60, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. Translated from a supplemented version of the 2d German edition by P. G. Williams. MR 0109436
- Formules de dérivation approchée au moyen de points équidistants, Société d’Electronique et d’Automatisme, Courbevoie, 1954 (French). J. Kuntzmann, rédacteur; Rep. Tech. 1 373/1. MR 0077231 J. Kuntzmann, Evaluations d’Erreur dans les Représentations Approchées de Derivées, Société d’Électronique et d’Automatisme, Courbevoie (Seine), France, 1955. (See MTAC, v. 12, 1958, pp. 104–105, RMT 56.)
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 501-522
- DOI: https://doi.org/10.1090/S0025-5718-67-99141-7