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1: 24.20 Tables
Abramowitz and Stegun (1964, Chapter 23) includes exact values of k = 1 m k n , m = 1 ( 1 ) 100 , n = 1 ( 1 ) 10 ; k = 1 k n , k = 1 ( 1 ) k 1 k n , k = 0 ( 2 k + 1 ) n , n = 1 , 2 , , 20D; k = 0 ( 1 ) k ( 2 k + 1 ) n , n = 1 , 2 , , 18D. … In Wagstaff (2002) these results are extended to n = 60 ( 2 ) 152 and n = 40 ( 2 ) 88 , respectively, with further complete and partial factorizations listed up to n = 300 and n = 200 , respectively. …
2: Charles W. Clark
in physics from the University of Chicago. …  Nayfeh), published by Gordon and Breach in 1985, Atomic Spectra and Collisions in External Fields (with M. … Taylor), published by Plenum Press in 1988, and Atoms in Strong Fields (with M. … Nicolaides), published by Plenum Press in 1990. … Clark received the R&D 100 Award, Distinguished Presidential Rank Award of the U. …
3: Foreword
That 1046-page tome proved to be an invaluable reference for the many scientists and engineers who use the special functions of applied mathematics in their day-to-day work, so much so that it became the most widely distributed and most highly cited NIST publication in the first 100 years of the institution’s existence. 22 2 D. R. Lide (ed.), A Century of Excellence in Measurement, Standards, and Technology, CRC Press, 2001. The success of the original handbook, widely referred to as “Abramowitz and Stegun” (“A&S”), derived not only from the fact that it provided critically useful scientific data in a highly accessible format, but also because it served to standardize definitions and notations for special functions. … Much has changed in the years since A&S was published. Certainly, advances in applied mathematics have continued unabated. … The production of these new resources has been a very complex undertaking some 10 years in the making. …
4: 10.75 Tables
  • The main tables in Abramowitz and Stegun (1964, Chapter 9) give J 0 ( x ) to 15D, J 1 ( x ) , J 2 ( x ) , Y 0 ( x ) , Y 1 ( x ) to 10D, Y 2 ( x ) to 8D, x = 0 ( .1 ) 17.5 ; Y n ( x ) ( 2 / π ) J n ( x ) ln x , n = 0 , 1 , x = 0 ( .1 ) 2 , 8D; J n ( x ) , Y n ( x ) , n = 3 ( 1 ) 9 , x = 0 ( .2 ) 20 , 5D or 5S; J n ( x ) , Y n ( x ) , n = 0 ( 1 ) 20 ( 10 ) 50 , 100 , x = 1 , 2 , 5 , 10 , 50 , 100 , 10S; modulus and phase functions x M n ( x ) , θ n ( x ) x , n = 0 , 1 , 2 , 1 / x = 0 ( .01 ) 0.1 , 8D.

  • Makinouchi (1966) tabulates all values of j ν , m and y ν , m in the interval ( 0 , 100 ) , with at least 29S. These are for ν = 0 ( 1 ) 5 , 10, 20; ν = 3 2 , 5 2 ; ν = m / n with m = 1 ( 1 ) n 1 and n = 3 ( 1 ) 8 , except for ν = 1 2 .

  • Döring (1971) tabulates the first 100 values of ν ( > 1 ) for which J ν ( x ) has the double zero x = ν , 10D.

  • The main tables in Abramowitz and Stegun (1964, Chapter 9) give e x I n ( x ) , e x K n ( x ) , n = 0 , 1 , 2 , x = 0 ( .1 ) 10 ( .2 ) 20 , 8D–10D or 10S; x e x I n ( x ) , ( x / π ) e x K n ( x ) , n = 0 , 1 , 2 , 1 / x = 0 ( .002 ) 0.05 ; K 0 ( x ) + I 0 ( x ) ln x , x ( K 1 ( x ) I 1 ( x ) ln x ) , x = 0 ( .1 ) 2 , 8D; e x I n ( x ) , e x K n ( x ) , n = 3 ( 1 ) 9 , x = 0 ( .2 ) 10 ( .5 ) 20 , 5S; I n ( x ) , K n ( x ) , n = 0 ( 1 ) 20 ( 10 ) 50 , 100 , x = 1 , 2 , 5 , 10 , 50 , 100 , 9–10S.

  • The main tables in Abramowitz and Stegun (1964, Chapter 10) give 𝗃 n ( x ) , 𝗒 n ( x ) n = 0 ( 1 ) 8 , x = 0 ( .1 ) 10 , 5–8S; 𝗃 n ( x ) , 𝗒 n ( x ) n = 0 ( 1 ) 20 ( 10 ) 50 , 100, x = 1 , 2 , 5 , 10 , 50 , 100 , 10S; 𝗂 n ( 1 ) ( x ) , 𝗄 n ( x ) , n = 0 , 1 , 2 , x = 0 ( .1 ) 5 , 4–9D; 𝗂 n ( 1 ) ( x ) , 𝗄 n ( x ) , n = 0 ( 1 ) 20 ( 10 ) 50 , 100, x = 1 , 2 , 5 , 10 , 50 , 100 , 10S. (For the notation see §10.1 and §10.47(ii).)

  • 5: 7.23 Tables
  • Abramowitz and Stegun (1964, Chapter 7) includes erf x , ( 2 / π ) e x 2 , x [ 0 , 2 ] , 10D; ( 2 / π ) e x 2 , x [ 2 , 10 ] , 8S; x e x 2 erfc x , x 2 [ 0 , 0.25 ] , 7D; 2 n Γ ( 1 2 n + 1 ) i n erfc ( x ) , n = 1 ( 1 ) 6 , 10 , 11 , x [ 0 , 5 ] , 6S; F ( x ) , x [ 0 , 2 ] , 10D; x F ( x ) , x 2 [ 0 , 0.25 ] , 9D; C ( x ) , S ( x ) , x [ 0 , 5 ] , 7D; f ( x ) , g ( x ) , x [ 0 , 1 ] , x 1 [ 0 , 1 ] , 15D.

  • Finn and Mugglestone (1965) includes the Voigt function H ( a , u ) , u [ 0 , 22 ] , a [ 0 , 1 ] , 6S.

  • Zhang and Jin (1996, pp. 637, 639) includes ( 2 / π ) e x 2 , erf x , x = 0 ( .02 ) 1 ( .04 ) 3 , 8D; C ( x ) , S ( x ) , x = 0 ( .2 ) 10 ( 2 ) 100 ( 100 ) 500 , 8D.

  • Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of erf z , x [ 0 , 5 ] , y = 0.5 ( .5 ) 3 , 7D and 8D, respectively; the real and imaginary parts of x e ± i t 2 d t , ( 1 / π ) e i ( x 2 + ( π / 4 ) ) x e ± i t 2 d t , x = 0 ( .5 ) 20 ( 1 ) 25 , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.

  • Fettis et al. (1973) gives the first 100 zeros of erf z and w ( z ) (the table on page 406 of this reference is for w ( z ) , not for erfc z ), 11S.

  • 6: 11.14 Tables
    Tables listed in these Indices are omitted from the subsections that follow. …
  • Agrest et al. (1982) tabulates 𝐇 n ( x ) and e x 𝐋 n ( x ) for n = 0 , 1 and x = 0 ( .001 ) 5 ( .005 ) 15 ( .01 ) 100 to 11D.

  • Barrett (1964) tabulates 𝐋 n ( x ) for n = 0 , 1 and x = 0.2 ( .005 ) 4 ( .05 ) 10 ( .1 ) 19.2 to 5 or 6S, x = 6 ( .25 ) 59.5 ( .5 ) 100 to 2S.

  • Agrest et al. (1982) tabulates 0 x 𝐇 0 ( t ) d t and e x 0 x 𝐋 0 ( t ) d t for x = 0 ( .001 ) 5 ( .005 ) 15 ( .01 ) 100 to 11D.

  • 7: 28.35 Tables
  • Blanch and Clemm (1965) includes values of Mc n ( 2 ) ( x , q ) , Mc n ( 2 ) ( x , q ) for n = 0 ( 1 ) 7 , x = 0 ( .02 ) 1 ; n = 8 ( 1 ) 15 , x = 0 ( .01 ) 1 . Also Ms n ( 2 ) ( x , q ) , Ms n ( 2 ) ( x , q ) for n = 1 ( 1 ) 7 , x = 0 ( .02 ) 1 ; n = 8 ( 1 ) 15 , x = 0 ( .01 ) 1 . In all cases q = 0 ( .05 ) 1 . Precision is generally 7D. Approximate formulas and graphs are also included.

  • Ince (1932) includes eigenvalues a n , b n , and Fourier coefficients for n = 0 or 1 ( 1 ) 6 , q = 0 ( 1 ) 10 ( 2 ) 20 ( 4 ) 40 ; 7D. Also ce n ( x , q ) , se n ( x , q ) for q = 0 ( 1 ) 10 , x = 1 ( 1 ) 90 , corresponding to the eigenvalues in the tables; 5D. Notation: a n = 𝑏𝑒 n 2 q , b n = 𝑏𝑜 n 2 q .

  • National Bureau of Standards (1967) includes the eigenvalues a n ( q ) , b n ( q ) for n = 0 ( 1 ) 3 with q = 0 ( .2 ) 20 ( .5 ) 37 ( 1 ) 100 , and n = 4 ( 1 ) 15 with q = 0 ( 2 ) 100 ; Fourier coefficients for ce n ( x , q ) and se n ( x , q ) for n = 0 ( 1 ) 15 , n = 1 ( 1 ) 15 , respectively, and various values of q in the interval [ 0 , 100 ] ; joining factors g e , n ( q ) , f e , n ( q ) for n = 0 ( 1 ) 15 with q = 0 ( .5  to  10 ) 100 (but in a different notation). Also, eigenvalues for large values of q . Precision is generally 8D.

  • Blanch and Clemm (1969) includes eigenvalues a n ( q ) , b n ( q ) for q = ρ e i ϕ , ρ = 0 ( .5 ) 25 , ϕ = 5 ( 5 ) 90 , n = 0 ( 1 ) 15 ; 4D. Also a n ( q ) and b n ( q ) for q = i ρ , ρ = 0 ( .5 ) 100 , n = 0 ( 2 ) 14 and n = 2 ( 2 ) 16 , respectively; 8D. Double points for n = 0 ( 1 ) 15 ; 8D. Graphs are included.

  • Zhang and Jin (1996, pp. 533–535) includes the zeros (in degrees) of ce n ( x , 10 ) , se n ( x , 10 ) for n = 1 ( 1 ) 10 , and the first 5 zeros of Mc n ( j ) ( x , 10 ) , Ms n ( j ) ( x , 10 ) for n = 0 or 1 ( 1 ) 8 , j = 1 , 2 . Precision is mostly 9S.

  • 8: 27.21 Tables
    Lehmer (1914) lists all primes up to 100 06721. …7 of Abramowitz and Stegun (1964) also lists the factorizations in Glaisher’s Table I(a); Table 24. … The partition function p ( n ) is tabulated in Gupta (1935, 1937), Watson (1937), and Gupta et al. (1958). …Those published prior to 1918 are mentioned in Dickson (1919). The bibliography in Lehmer (1941) gives references to the places in Dickson’s History where the older tables are cited. …
    9: 26.21 Tables
    Andrews (1976) contains tables of the number of unrestricted partitions, partitions into odd parts, partitions into parts ± 2 ( mod 5 ) , partitions into parts ± 1 ( mod 5 ) , and unrestricted plane partitions up to 100. … Goldberg et al. (1976) contains tables of binomial coefficients to n = 100 and Stirling numbers to n = 40 .
    10: Frank W. J. Olver
     1924 in Croydon, U. …degrees in mathematics from the University of London in 1945, 1948, and 1961, respectively. … A highly regarded expositor, Olver was author of more than 100 technical articles. … In 1992 he retired, and was appointed Professor Emeritus. … In 1989 the conference “Asymptotic and Computational Analysis” was held in Winnipeg, Canada, in honor of Olver’s 65th birthday, with Proceedings published by Marcel Dekker in 1990. …