Reviews and Descriptions of Tables and Books

Journal:
Math. Comp. **21** (1967), 258-292

DOI:
https://doi.org/10.1090/S0025-5718-67-99891-2

Addendum:
Math. Comp. **22** (1968), 249.

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References | Additional Information

**[1]**A. Fletcher, J. C. P. Miller, L. Rosenhead & L. J. Comrie,*An Index of Mathematical Tables*, Vol. I, 2nd ed., Addison-Wesley, Reading, Mass., 1962, p. 53. MR**0142796 (26:365a)****[2]**L. Potin,*Formules et Tables Numériques*, Gauthier-Villars, Paris, 1925.**[3]**K. Hayashi,*Fünfstellige Funktionentafeln*, Springer, Berlin, 1930.**[1]**Kōki Takahashi & Masaaki Sibuya, ``Statistics of the digits of ,''*Jōhō Shori (Information Processing)*, v. 6, 1965, pp. 221-223. (Japanese) (See also the next review here.)**[1]**Kōki Takahashi & Masaaki Sibuya, ``Statistics of the digits of ,''*Jōhō Shori (Information Processing)*, v. 6, 1965, pp. 221-223. (Japanese)**[2]**H. S. Uhler, ``Many-figure approximations to , and distribution of digits in and ,''*Proc. Nat. Acad. Sci. U. S. A.*, v. 37, 1951, pp. 63-67.**[3]**H. S. Uhler, ``Approximations exceeding 1300 decimals for , , and distribution of digits in them,''*ibid.*, pp. 443-447.**[4]**M. Lal,*Expansion of to 19600 Decimals*, ms. deposited in the UMT file. (See*Math. Comp.*, v. 21, 1967, pp. 258-259, RMT 17.)**[1]**A. J. C. Cunningham,*Quadratic Partitions*, Hodgson, London, 1904.**[2]**H. Davenport,*The Higher Arithmetic*, Harper, New York, 1960, pp. 120-123. MR**0109802 (22:687)****[3]**S. Chowla,*The Riemann Hypothesis and Hilbert's Tenth Problem*, Gordon and Breach, New York, 1965, Chapters IV, V. MR**0177943 (31:2201)****[4]**D. Shanks,*Solved and Unsolved Problems in Number Theory*, Spartan, Washington, 1962. MR**0160741 (28:3952)****[5]**D. Shanks, ``A sieve method for factoring numbers of the form ,''*MTAC*, v. 13, 1959, pp. 78-86. MR**0105784 (21:4520)****[1]**M. F. Jones, M. Lal & W. J. Blundon, ``Statistics on certain large primes,''*Math. Comp.*, v. 21, 1967, pp. 103-107. MR**0220655 (36:3707)****[2]**M. Kraitchik, ``Les grand nombres premiers,''*Sphinx*, v. 8, 1938, pp. 82-86.**[3]**N. G. W. H. Beeger,*Tafel van den kleinsten factor de getallen van*999 999 000-1 000 119 120,*etc.*, deposited in the UMT file and reviewed in UMT 68,*Math. Comp.*, v. 20, 1966, p. 456.**[1]**L. D. Baumert & H. Fredricksen, ``Cyclotomic numbers of order eighteen with applications to difference sets,''*Math. Comp.*, v. 21, 1967, pp. 204-219. MR**0223322 (36:6370)****[1]**T. Yamanouchi,*Proc. Phys.-Math. Soc. Japan*, v. 18, 1936, p. 623.**[2]**T. Inui & S. Yanagawa,*Representation of Groups and Quantum Mechanics of Atoms and Molecules*, 2nd ed., Shohkabo, Tokyo, 1955.**[3]**M. Hamermesh,*Group Theory and its Application to Physical Problems*, Addison-Wesley, Reading, Mass., 1962. MR**0136667 (25:132)****[4]**S. Katsura, ``Tables of representations of permutation groups for molecular integrals,''*J. Chem. Phys.*, v. 38, 1963, p. 3033.**[1]***Tables of Jacobi Elliptic Functions*, ms. prepared by the Project for Computation of Mathematical Tables, New York City; printed for limited distribution, Washington, D. C., 1942. (See*MTAC*, v. 1, 1943-1945, pp. 125-126, UMT**12;***ibid.*, p. 425, RMT**207**.)**[2]**L. M. Milne-Thomson,*Jacobian Elliptic Function Tables*, Dover, New York, 1950. (See*MTAC*, v. 5, 1951, pp. 157-158, RMT**910**.) MR**0088071 (19:464d)****[3]**G. W. Spenceley & R. M. Spenceley,*Smithsonian Elliptic Functions Tables (Smithsonian Miscellaneous Collections*, v. 109), Smithsonian Institution, Washington, D. C., 1947. (See*MTAC*, v. 3, 1948-1949, pp. 89-92, RMT**485**.)**[1]**J. C. P. Miller, ``Note on the general solution of the confluent hypergeometric equation,''*MTAC.*, v. 11, 1957, pp. 97-99. MR**0086393 (19:178b)****[2]**A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi,*Higher Transcendental Functions*, Vol. 1, McGraw-Hill, New York, 1953.**[3]**Lucy J. Slater,*Confluent Hypergeometric Functions*, Cambridge University Press, Cambridge, 1960. MR**0107026 (21:5753)****[1]**A. R. Di Donato & M. P. Jarnagin, ``A method for computing the circular coverage function,''*Math. Comp.*, v. 16, 1963, pp. 347-355. MR**0148161 (26:5669)****[2]**H. L. Harter, ``Circular error probabilities,''*J. Amer. Statist. Assoc.*, v. 55, 1960, pp. 723-731. MR**0144403 (26:1948)****[1]**Henry E. Fettis & James C. Caslin,*Ten Place Tables of the Jacobi Elliptic Functions*, Report ARL 65-180 Part 1, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio, September 1965. MR**0201684 (34:1566)****[1]**Henry E. Fettis & James C. Caslin,*Elliptic Integral of the First Kind and Elliptic Integral of the Second Kind*, ms. tables deposited in the UMT file. (See*Math. Comp.*, v. 20, 1966, pp. 626, RMT**99**.)**[2]**Henry E. Fettis & James C. Caslin,*Tables of Elliptic Integrals of the First, Second and Third Kind*, Applied Mathematics Research Laboratory Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio, 1964. (See*Math. Comp.*, v. 19, 1965, p. 509, RMT**81**.) MR**0201684 (34:1566)****[3]***Math. Comp.*, v. 20, 1966, p. 639, MTE**398**.**[1]**M. Abramowitz & I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Applied Mathematics Series No. 55, U. S. Government Printing Office, 1964. (See*Math. Comp.*, v. 19, 1965, pp. 147-149.) MR**0167642 (29:4914)****[2]**P. Concus, D. Cossat, G. Jaehnig & E. Melby, ``Tables for the evaluation of by Gauss-Laguerre quadrature,*Math. Comp.*, v. 17, 1963, pp. 245-256. MR**0158534 (28:1757)****[3]**P. Concus, ``Additional tables for the evaluation of by Gauss-Laguerre quadrature,''*Math. Comp.*, v. 18, 1964, p. 523.**[4]**T. S. Shao, T. C. Chen & R. M. Frank, ``Tables of zeros and Gaussian weights of certain associated Laguerre polynomials and the related generalized Hermite polynomials,''*Math. Comp.*, v. 18, 1964, pp. 598-616. MR**0166397 (29:3674)****[5]**A. H. Stroud & D. Secrest, Gaussian*Quadrature Formulas*, Prentice-Hall, Englewood Cliffs, N. J., 1966. (See*Math. Comp*, v. 21, 1967, pp. 125-126, RMT**14**.) MR**0202312 (34:2185)****[1]**L. N. Osipova & S. A. Tumarkin,*Tables for the Calculation of Toroidal Shells*, Akad. Nauk SSSR, Moscow, 1963. (See*Math. Comp.*, v. 18, 1964, pp. 677-678.)**[2]**S. A. Tumarkin, ``Asymptotic solution of a linear nonhomogeneous second order differential equation with a transition point and its application to the computations of toroidal shells and propeller blades,''*Prikl. Mat. Meh.*, v. 23, 1959, pp. 1083-1094; English transi.,*J. Appl Math. Mech.*, v. 23, 1959, pp. 1549-1565. MR**0114975 (22:5784)****[3]**Milton Abramowitz & Irene A. Stegun, Editors,*Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables*, Applied Mathematics Series No. 55, U. S. Government Printing Office, Washington, D. C., 1964. (See*Math. Comp.*, v. 19, 1965, pp. 147- 149.) MR**0167642 (29:4914)****[4]**Y. L. Luke,*Integrals of Bessel Functions*, McGraw-Hill, New York, 1962. (See*Math. Comp.*, v. 17, 1963, p. 318-320.) MR**0141801 (25:5198)****[5]**R. S. Scorer, ``Numerical evaluation of integrals in the form and the tabulation of the function ",*Quart. J. Mech. Appl Math.*, v. 3, 1950, pp. 107-112. (See*MTAC*, v. 4, 1950, p. 215.) MR**0037604 (12:287c)****[6]**M. Rothman, ``The problem of an infinite plate under an inclined loading with tables of the integrals of and ,''*Quart. J. Mech. Appl. Math.*, v. 7, 1954, pp. 1-7. (See*MTAC*, v. 8, 1954, p. 162.) MR**0060682 (15:708d)****[7]**M. Rothman, ``Tables of the integrals and differential coefficients of and ,''*Quart. J. Mech. Appl. Math.*, v. 7, 1954, p. 379-384. (See*MTAC*, v. 9, 1955, pp. 77-78. On the latter pages are descriptions of further tables related to Airy functions and their integrals. See also [3].) MR**0060682 (15:708d)****[8]**Harvard University Computation Laboratory, Annals, Vol. 2,*Tables of the Modified Hankel Functions of Order One-Third and Their Derivatives*, Harvard Univ. Press, Cambridge, Mass., 1945. (See*MTAC*, v. 2, 1946, pp. 176-177.)**[9]**K. Singh, J. F. Lumley & R. Betchov,*Modified Hankel Functions and their Integrals to Argument*10, Engineering Research Bulletin B-87, The Pennsylvania State University, University Park, Penn., 1963. (See*Math. Comp.*, v. 18, 1964, p. 522.)

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-67-99891-2

Article copyright:
© Copyright 1967
American Mathematical Society