# §9.18 Tables

## §9.18(i) Introduction

Additional listings of early tables of the functions treated in this chapter are given in Fletcher et al. (1962) and Lebedev and Fedorova (1960).

## §9.18(ii) Real Variables

• Miller (1946) tabulates , for , for ; , for ; , for ; , , , (respectively , , , ) for . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.

• Fox (1960, Table 3) tabulates , , , and for , together with similar auxiliary functions for negative values of . Precision is 10D.

• Zhang and Jin (1996, p. 337) tabulates , , , for to 8S and for to 9D.

• Yakovleva (1969) tabulates Fock’s functions , , , for . Precision is 7S.

## §9.18(iii) Complex Variables

• Woodward and Woodward (1946) tabulates the real and imaginary parts of , , , for , . Precision is 4D.

• Harvard University (1945) tabulates the real and imaginary parts of , , , for , , , with interval 0.1 in and . Precision is 8D. Here , .

## §9.18(iv) Zeros

• Miller (1946) tabulates , , , , ; , , , , . Precision is 8D. Entries for are reproduced in Abramowitz and Stegun (1964, Chapter 10).

• Sherry (1959) tabulates , , , , ; 20S.

• Zhang and Jin (1996, p. 339) tabulates , , , , , , , , ; 8D.

• Corless et al. (1992) gives the real and imaginary parts of for ; 14S.

## §9.18(v) Integrals

• Rothman (1954b) tabulates and for and , respectively; 7D. The entries in the columns headed and all have the wrong sign. The tables are reproduced in Abramowitz and Stegun (1964, Chapter 10), and the sign errors are corrected in later reprintings.

• National Bureau of Standards (1958) tabulates and (see (9.10.20)) for to 8D and 7D, respectively.

• Zhang and Jin (1996, p. 338) tabulates and for to 8D or 8S.

## §9.18(vi) Scorer Functions

• Scorer (1950) tabulates and for ; 7D.

• Rothman (1954a) tabulates , , , for ; 7D.

• National Bureau of Standards (1958) tabulates and for and ; for . Precision is 8D.

• Nosova and Tumarkin (1965) tabulates , , , for ; 7D. Also included are the real and imaginary parts of and , where and ; 6-7D.

• Gil et al. (2003c) tabulates the only positive zero of , the first 10 negative real zeros of and , and the first 10 complex zeros of , , , and . Precision is 11 or 12S.

## §9.18(vii) Generalized Airy Functions

• Smirnov (1960) tabulates , , defined by (9.13.20), (9.13.21), and also , , for , to 5D or 5S, and also for , , , , , , , , , , 2, ; 4D.