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§4.47(i) Chebyshev-Series Expansions…
§6.20(ii) Expansions in Chebyshev Series►
Clenshaw (1962) gives Chebyshev coefficients for for and for (20D).
Luke and Wimp (1963) covers for (20D), and and for (20D).
Luke (1969b, pp. 321–322) covers and for (the Chebyshev coefficients are given to 20D); for (20D), and for (15D). Coefficients for the sine and cosine integrals are given on pp. 325–327.
Luke (1969b, p. 25) gives a Chebyshev expansion near infinity for the confluent hypergeometric -function (§13.2(i)) from which Chebyshev expansions near infinity for , , and follow by using (6.11.2) and (6.11.3). Luke also includes a recursion scheme for computing the coefficients in the expansions of the functions. If the scheme can be used in backward direction.
§12.20 Approximations►Luke (1969b, pp. 25 and 35) gives Chebyshev-series expansions for the confluent hypergeometric functions and (§13.2(i)) whose regions of validity include intervals with endpoints and , respectively. As special cases of these results a Chebyshev-series expansion for valid when follows from (12.7.14), and Chebyshev-series expansions for and valid when follow from (12.4.1), (12.4.2), (12.7.12), and (12.7.13). …
Luke (1975, p. 103) gives Chebyshev-series expansions for and related functions for .
§13.31(i) Chebyshev-Series Expansions►Luke (1969b, pp. 35 and 25) provides Chebyshev-series expansions of and that include the intervals and , respectively, where is an arbitrary positive constant. …
§9.19(ii) Expansions in Chebyshev Series… ►
MacLeod (1994) supplies Chebyshev-series expansions to cover for and for . The Chebyshev coefficients are given to 20D.
Piessens and Branders (1972) gives the coefficients of the Chebyshev-series expansions of and , , for (23D).
§11.15(i) Expansions in Chebyshev Series►
Luke (1975, pp. 416–421) gives Chebyshev-series expansions for , , , and , , for ; , , , and , , ; the coefficients are to 20D.
MacLeod (1993) gives Chebyshev-series expansions for , , , and , , ; the coefficients are to 20D.