tables%20of%20zeros
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1—10 of 24 matching pages
1: 10.75 Tables
Olver (1960) tabulates , , , , , , , , , , 8D. Also included are tables of the coefficients in the uniform asymptotic expansions of these zeros and associated values as ; see §10.21(viii), and more fully Olver (1954).
Zhang and Jin (1996, pp. 296–305) tabulates , , , , , , , , , 50, 100, , 5, 10, 25, 50, 100, 8S; , , , (Riccati–Bessel functions and their derivatives), , 50, 100, , 5, 10, 25, 50, 100, 8S; real and imaginary parts of , , , , , , , , , 20(10)50, 100, , , 8S. (For the notation replace by , , , , respectively.)
Olver (1960) tabulates , , , , , , 8D. Also included are tables of the coefficients in the uniform asymptotic expansions of these zeros and associated values as .
2: 7.23 Tables
§7.23 Tables
… βΊZhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
§7.23(iv) Zeros
βΊFettis et al. (1973) gives the first 100 zeros of and (the table on page 406 of this reference is for , not for ), 11S.
Zhang and Jin (1996, p. 642) includes the first 10 zeros of , 9D; the first 25 distinct zeros of and , 8S.
3: 9.18 Tables
§9.18 Tables
… βΊ§9.18(iv) Zeros
βΊSherry (1959) tabulates , , , , ; 20S.
Zhang and Jin (1996, p. 339) tabulates , , , , , , , , ; 8D.
4: 13.30 Tables
§13.30 Tables
… βΊSlater (1960) tabulates for , , and , 7–9S; for and , 7D; the smallest positive -zero of for and , 7D.
Abramowitz and Stegun (1964, Chapter 13) tabulates for , , and , 8S. Also the smallest positive -zero of for and , 7D.
Zhang and Jin (1996, pp. 411–423) tabulates and for , , and , 8S (for ) and 7S (for ).
5: Bibliography F
6: 12.19 Tables
§12.19 Tables
… βΊMurzewski and Sowa (1972) includes for , , 7S.
Zhang and Jin (1996, pp. 455–473) includes , , , , and derivatives, , , , 8S; , , and derivatives, , and , , , 8S. Also, first zeros of , , and of derivatives, , 6D; first three zeros of and of derivative, , 6D; first three zeros of and of derivative, , 6D; real and imaginary parts of , , , , , 8S.
7: Bibliography S
8: Bibliography L
9: 28.35 Tables
§28.35 Tables
… βΊInce (1932) includes eigenvalues , , and Fourier coefficients for or , ; 7D. Also , for , , corresponding to the eigenvalues in the tables; 5D. Notation: , .
Kirkpatrick (1960) contains tables of the modified functions , for , , ; 4D or 5D.