# §30.1 Special Notation

(For other notation see Notation for the Special Functions.)

 real variable. Except in §§30.7(iv), 30.11(ii), 30.13, and 30.14, . real parameter (positive, zero, or negative). order, a nonnegative integer. degree, an integer . integer. arbitrary small positive constant.

The main functions treated in this chapter are the eigenvalues and the spheroidal wave functions , , , , and , . These notations are similar to those used in Arscott (1964b) and Erdélyi et al. (1955). Meixner and Schäfke (1954) use , , , for , , , , respectively.

## ¶ Other Notations

Flammer (1957) and Abramowitz and Stegun (1964) use for , for , and

where is a normalization constant determined by

For older notations see Abramowitz and Stegun (1964, §21.11) and Flammer (1957, pp. 14,15).