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1: 13.30 Tables
  • Žurina and Osipova (1964) tabulates M ( a , b , x ) and U ( a , b , x ) for b = 2 , a = 0.98 ( .02 ) 1.10 , x = 0 ( .01 ) 4 , 7D or 7S.

  • 2: 19.37 Tables
    Tabulated for k = 0 ( .01 ) 1 to 10D by Fettis and Caslin (1964), and for k = 0 ( .02 ) 1 to 7D by Zhang and Jin (1996, p. 673). … Tabulated for ϕ = 5 ( 5 ) 80 ( 2.5 ) 90 , α 2 = 1 ( .1 ) 0.1 , 0.1 ( .1 ) 1 , k 2 = 0 ( .05 ) 0.9 ( .02 ) 1 to 10D by Fettis and Caslin (1964) (and warns of inaccuracies in Selfridge and Maxfield (1958) and Paxton and Rollin (1959)). Tabulated for ϕ = 0 ( 1 ) 90 , α 2 = 0 ( .05 ) 0.85 , 0.88 ( .02 ) 0.94 ( .01 ) 0.98 ( .005 ) 1 , k 2 = 0 ( .01 ) 1 to 7S by Beli͡akov et al. (1962). …
    3: 25.19 Tables
  • Morris (1979) tabulates Li 2 ( x ) 25.12(i)) for ± x = 0.02 ( .02 ) 1 ( .1 ) 6 to 30D.

  • 4: 28.35 Tables
  • Blanch and Clemm (1962) includes values of Mc n ( 1 ) ( x , q ) and Mc n ( 1 ) ( x , q ) for n = 0 ( 1 ) 15 with q = 0 ( .05 ) 1 , x = 0 ( .02 ) 1 . Also Ms n ( 1 ) ( x , q ) and Ms n ( 1 ) ( x , q ) for n = 1 ( 1 ) 15 with q = 0 ( .05 ) 1 , x = 0 ( .02 ) 1 . Precision is generally 7D.

  • 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.

  • 5: 7.23 Tables
  • 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.

  • 6: Guide to Searching the DLMF
    Sometimes there are distinctions between various special function names based on font style, such as the use of bold or calligraphic letters. DLMF search recognizes just the essential font differences, that is, the font style differences deemed important for the DLMF contents: … If you don’t specify the font style or font accessories in the query, the style and accessories won’t matter in the search, but if you specify them, they will matter. …
    7: 9.18 Tables
  • National Bureau of Standards (1958) tabulates A 0 ( x ) π Hi ( x ) and A 0 ( x ) π Hi ( x ) for x = 0 ( .01 ) 1 ( .02 ) 5 ( .05 ) 11 and 1 / x = 0.01 ( .01 ) 0.1 ; 0 x A 0 ( t ) d t for x = 0.5 , 1 ( 1 ) 11 . Precision is 8D.

  • 8: 10.75 Tables
  • Abramowitz and Stegun (1964, Chapter 9) tabulates j n , m , J n ( j n , m ) , j n , m , J n ( j n , m ) , n = 0 ( 1 ) 8 , m = 1 ( 1 ) 20 , 5D (10D for n = 0 ), y n , m , Y n ( y n , m ) , y n , m , Y n ( y n , m ) , n = 0 ( 1 ) 8 , m = 1 ( 1 ) 20 , 5D (8D for n = 0 ), J 0 ( j 0 , m x ) , m = 1 ( 1 ) 5 , x = 0 ( .02 ) 1 , 5D. Also included are the first 5 zeros of the functions x J 1 ( x ) λ J 0 ( x ) , J 1 ( x ) λ x J 0 ( x ) , J 0 ( x ) Y 0 ( λ x ) Y 0 ( x ) J 0 ( λ x ) , J 1 ( x ) Y 1 ( λ x ) Y 1 ( x ) J 1 ( λ x ) , J 1 ( x ) Y 0 ( λ x ) Y 1 ( x ) J 0 ( λ x ) for various values of λ and λ 1 in the interval [ 0 , 1 ] , 4–8D.