Mathematical Formula, graph and integral table.pdf

UNITED STATES DEPARTMENT MERCF. Luther H. IIodges, Secretary
NATIONAL BUREAU OF STANDARDS A. V. Amtin, Director
Handbook of Mathematical Functions
With
Formulas, Graphs, and Mathematical Tables
Edited by
Milton Abramowitz and Irene A. Stegun
National Bureau of Standards
Applied Mathematics Series 55
Issued June 1964
Tenth Printine, December 1972, with corrections
For sale by the Superhten%t of Documents, . Government Printing Oface
Washingtor, . 20402
The text relating t3 physical constants and conversion factors (page 6)
has been modified to take into account the newly adopted SystGme Interna-
tional d’Unites(SI).
ERRATA NOTICE
The original printing of this Handbook (June 1964) contained
errors that have been corrected in the reprinted editions. These cor-
rections are marked with an asterisk (*) for identification. The errors
occurred on the following pages: 2-3,6-8,10,15,19-20,25,76,85,91,102,
187, 189-197,218,223,225,233,250,255,260-263,268,271-273,292,302,
328,332,333-337,362,365,415,423,438-440,443,445,447,449,451,484,
498, 505-506,509-510, $43,556,558,562,571,595,599,600,722-723,739,
742, 744, 746,752,756,760-765,774,777-785,790,797,801,822-823,832,
835,844, 886-889,897,914,915,920,930-931; 936,940-941,944-950,953,
960,963,989-990,1010,1026.
Originally issued June 1964. Second printing, November 1964. Third printing, March 1965.
Fourth printing, December 1965. Fifth printing, August 1966. Sixth printing, November 1967.
Seventh printing, May 1968. Eighth printing, 1969. Ninth printing, November 1970.
Libmry of Congress Catalog Card Number: 64-60036
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Preface
The present volume is an outgrowth of a Conference on Mathematical
Tables held at Cambridge, Mass., on September 15-16, 1954, under the
auspices of the National Science Foundation and the Massachusetts Insti-
tute of Technology. The purpose of the meeting was to evaluate the need
for mathematical tables