The book was reprinted and the errata in the previous post, among others, corrected.
But still, as expected, there is more:
1. Page 59, (3.35): the sentence after this equation should be changed to: ``where the primes indicates that the term with $T_0 (x)$ (only present for $n$ even) should be halved" (thanks to M. Lewis for the correction).
But still, as expected, there is more:
1. Page 59, (3.35): the sentence after this equation should be changed to: ``where the primes indicates that the term with $T_0 (x)$ (only present for $n$ even) should be halved" (thanks to M. Lewis for the correction).
2. Page 66, (3.61): j = 0, should be k = 0, (3.67): the index of the Chebyshev polynomial should be k
3. Page 67, line 1 below (3.68): (3.55) should be (3.60) line 4 below (3.68): (3.60) should be (3.56).
4. Page 96, line 5, near the end of the line: "=0" should be deleted.
5. Page 99, lines 3 and 5 from the top: the parameter $\nu$ in the Coulomb functions should be $\eta$ (four times).
6, Page 59, replace the brackets in (3.32) and (3.35) by the floor function (thanks to I. Bell for the correction).
7. Page 83, line after (3.144): $\epsilon_0=1$, $\epsilon_n =2$ ($n \ge 1$)
8. Page 83, Eq. (3.145): z should be 2z for the coefficient A_2
9. Page 168, third paragraph: change "$w_0$ crosses" by "$z$ crosses" (twice) (thanks to anonymous for the correction)
10. Page 145, 4 lines before algorithm 5.4: $\Gamma (\alpha+\beta+1)$ should be replaced by $\Gamma (\alpha+\beta+2)$.
11. Page 290, second paragraph, line one/two: read "polynomial of approximation".
12. Page 370. Eq. (12.60): the last term of the differential equations goes with minus sign. The equation should read: $x^2 w''+ x w' -(x^2+n^2) w=0$
13. Formulas (9.60) - (9.62) should read, $L_{50}^{(0)}$ and not $L_{0}^{(50)}$ according to the definition on the page 287. And the same applies for the Weniger transform, $S_{50}^{(0)}$ and not $S_{0}^{(50)}$ (thanks to aukie for the correction)
14. Theorem 4.17: the inequalities and the equality involving $a$ and $b$ should involve $|a|$ and $|b|$ instead.
15. The sentence "It is a straightforward... take place" in the proof of Theorem 4.17 should be deleted.
8 comments:
Last formula in (2.88), page 31, seems to be incorrect. Instead of z/(z-1) should be (z-1)/z ?
It is correct. Notice that the inequality is reversed with respect to the other 5 inequalities in (2.88).
Thank you for your comment.
I think formulas (9.60) - (9.62) should read, $L_{50}^{(0)}$ and not $L_{0}^{(50)}$ according to the definition on the page 287. And the same applies for the Weniger transform, $S_{50}^{(0)}$ and not $S_{0}^{(50)}$
Thank you aukie, you are right.
I have the older version of the book and I am not sure whether this has been corrected.
Page 168, third paragraph: change " $w_0$ crosses" by "$z$ crosses" (twice).
You are are right. And the errata is present in the new version. I am adding this to the list. Thank you!
In Eq. 3.35 on page 59, the termination of the summation should be in the floor operator, not brackets [ ]
Thank you Ian!
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