Evaluation of a constant associated with a parking problem
Authors:
M. Lal and P. Gillard
Journal:
Math. Comp. 28 (1974), 561564
MSC:
Primary 65D20
MathSciNet review:
0341814
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Abstract: A constant associated with a random space filling problem is computed to 19D. This is achieved by numerically solving an integraldifference equation.
 [1]
A Rényi, "On a one dimensional problem concerning random spacefilling," Magyar Tud. Akad. Mat. Kutató Int. Közl., v. 3, 1958, no. 1/2, pp. 109127. (Hungarian) MR 21 #3039. MR 0104284 (21:3039)
 [2]
A. Dvoretzky & H. Robbins, "On the 'parking' problem," Magyar Tud. Akad. Mat. Kutató Int. Közl., v. 9, 1964, pp. 209225. MR 30 #3488. MR 0173275 (30:3488)
 [3]
J. J. A. Beenakker, The DifferentialDifference Equation , Ph.D. Thesis, Technische Hogeschool, Eindhoven, The Netherlands, 1966.
 [4]
I. Palásti, "On some random space filling problems," Magyar Tud. Akad. Mat. Kutató Int. Közl., v. 6, 1960, pp. 353360. (Russian) MR 26 #4466. MR 0146947 (26:4466)
 [5]
Mohan Lal & Paul Gillard, "Numerical solution of two differentialdifference equations on analytic theory of numbers," Conference on Numerical Solution of Differential Equations, Lecture Notes in Math., vol. 109, SpringerVerlag, Berlin and New York, 1969, pp. 179187.
 [6]
A. Ralston & H. S. Wilf (Editors), Mathematical Methods for Digital Computers. Vol. 2, Wiley, New York, 1967, p. 135. MR 35 #2516. MR 0117906 (22:8680)
 [1]
 A Rényi, "On a one dimensional problem concerning random spacefilling," Magyar Tud. Akad. Mat. Kutató Int. Közl., v. 3, 1958, no. 1/2, pp. 109127. (Hungarian) MR 21 #3039. MR 0104284 (21:3039)
 [2]
 A. Dvoretzky & H. Robbins, "On the 'parking' problem," Magyar Tud. Akad. Mat. Kutató Int. Közl., v. 9, 1964, pp. 209225. MR 30 #3488. MR 0173275 (30:3488)
 [3]
 J. J. A. Beenakker, The DifferentialDifference Equation , Ph.D. Thesis, Technische Hogeschool, Eindhoven, The Netherlands, 1966.
 [4]
 I. Palásti, "On some random space filling problems," Magyar Tud. Akad. Mat. Kutató Int. Közl., v. 6, 1960, pp. 353360. (Russian) MR 26 #4466. MR 0146947 (26:4466)
 [5]
 Mohan Lal & Paul Gillard, "Numerical solution of two differentialdifference equations on analytic theory of numbers," Conference on Numerical Solution of Differential Equations, Lecture Notes in Math., vol. 109, SpringerVerlag, Berlin and New York, 1969, pp. 179187.
 [6]
 A. Ralston & H. S. Wilf (Editors), Mathematical Methods for Digital Computers. Vol. 2, Wiley, New York, 1967, p. 135. MR 35 #2516. MR 0117906 (22:8680)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197403418149
PII:
S 00255718(1974)03418149
Keywords:
Differentialdifference equation,
random space filling
Article copyright:
© Copyright 1974
American Mathematical Society
