Справочник по специальным функциям - Абрамович М.
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5.14. Schelkunoff S. A. Proposed symbols for the
modified cosine and exponential integral. — Quart. Appl. Math., 1944, 2, № 90.
5.15. Todd J. Evaluation of the exponential integral for
large complex arguments. — J. Research NBS, 1954, 52, p. 313-317, Report № 2508.
5.16. Tricomi F. G. Kunzioni ipergeometriche con-
fluenti. — R.: Edizioni Cremonese, 1954.
Таблицы
5.17. British Association for the Advancement of Science.
Mathematical tables, V. I. Circular and hyperbolic functions, exponential, sine and cosine integrals, etc. — Cambridge: Cambridge Univ. Press, Ї951.
Ei(x) — In x, — E1(X) — In X, Ci (x) — In x, Si(X), X = 0(0.1)5, 1 ID; Ei(x), x = 5(0.1) 15, 10 - IIS; H1(X)t X = 5(0.1) 15, 13-14D; Si(x), Ci(x), X =
- 5(0.1)20(0.2) 40, 10D.
5.18. Fox L. Tables of Weber parabolic cylinder functions
and other functions for large arguments/National Physical Laboratory. — L.: Her Majesty's Stationery Office, 1960. — (Mathematical tables; V.4).
e-*Ei (x), ex?i(x), X'1 «= 0(0.001) 0.1, 10D;
f(x), g(x), x~l = 0(0.001) 0.1, 10D.
5.19. GIaisher J. W. L. Tables of the numerical values
of the sine-integral, cosine-integral and exponential integral. — Philos. Trans. Roy. Soc., L., 1870, 160, p. 367-388.
Si(x), Ci(x),F_Ei(x), - .E1(X)j X ¦= 0(0.01)1, 18D; X» 1(0.1) 5(1)15, 1 ID.
5.20. G о u г a г у В. S., L у n a m M. E. Tables of the auxi-
liary molecular integrals An(x) and the auxiliary functions C„(x). — Baltimore: Johns Hopkins Univ. Applied Physics Laboratory, 1957. — CM Report № 905.
on(x), n\en(x), X = 0.05(0.05)15, n = 0.(1)18, 9S.
5.21. Harris F. E. Tables of the exponential integral
Ei(x). — Math. Tables Aids Сотр., 1957. 11, p. 9-16.
^1(X), e*Fi(x), Ei(x), e~xEi(x), x=l(1)4.(0.4)8(l) 50 18-19S.
5.22. Harvard University. Tables of the generalized sine-and
cosine-integral functions. — Cambridge: Harvard Univ. Press, 1949. — (The Annals of the Computation Laboratory; V. 18, 19).
ж X
r,, . C sin U . . C 1 — COS U
S(a, x) = \-dx, C(a, x) = \ --=^-=- dx, 6D;
Ju Ju
о о
Ss(ca, x) = [ -sin X dx, Sc (a, x) —
я
C sin и
¦« V-cos xdx, 6D;
J и о
Cs(a, x) V C°S "¦ sin X dx, Cc(a, x) J и о
C cos и .. . .
=» У-(I — cos x) dx, 6D;
о
и = Jxs + a3, 0 ^ a < 25, 0 < x « 25.
Русский перевод: Таблицы обобщенных интегральных сипусов и косинусов. — M.: ВЦ АН СССР, 1966. - (БMT; Вып. 37, 38).
5.23. Harvard University. The Annals of the Computation Laboratory, V. 21. Tables of the generalized exponential-integral functions. — Cambridge: Harvard Univ. Press, 1949.
E(a, x) = jj I^f- dx, в(а> ,, _ J El^LH dXi
0 0 *
Ec(a, x) = ^ 1 ~ e~" 003 " dx, 6D; и = V^Mr?, 0
0 <S =S a < 10, 8 < і < 10.62
5.1. интегральная показательная функция 78
Русский перевод: Таблицы обобщенных интегральных показательных функций. — M.: ВЦ АН СССР, 1966. - (БМТ; Вып. 36).
5.24. H с г s h е у А. V. Computing programs for the com-
plex exponential integral. — Dahlgren: Naval Proving Ground, 1959. - NPG Report № 1646.
J?i(-z), г я- + iy, X - -20(1)20, у= 0(1)20, ІЗ S.
5.25. J a h n k е E., E m d е F. Tables of functions. — N.Y.:
Dover Publications, 1945.
Щ Ei(x), .1 = 0.(0.01)1(0.1)5(1)15, 4-6S; Si (x), Ci (x), a =0(0.01)1(0.1)5(1)15(5)100(10)200(100) 10ЧЧ', 4—5S;
Ci(x) и Si (x), 0 < x < 16, 5S. Русский перевод: Янке E., Эмдс Ф., Леш ф. Специальные функции. — M.: Наука, 1977.
5.26. Карпов К. А., Разумовский С. Н. Таблицы
интегрального логарифма. — M.: Изд-во АН СССР, 1956.
li(x), X= 0(0.0001)2.5(0.001)20(0.01)200(0.1)500(1) 10000(10)35000, 7S; IiCv) - In | 1 - х I, x = 0.95(0.0001)1.05, 6D.
5.27. Kotani M., Amemiya A., Ishiguro E.,
KimuraT. Table of molecular integrals. — Tokyo: Maruzen Co., 1955.
«,(x), X = 0.25(0.25)9(0.5)19(1)25, и - 0(1)15, IIS; Mx), x - 0.25(0.25)8(0.5)19(1)25, n = 0(1)8, US.
5.28. Machiko M. Tables of generalized exponential,
sine- and cosine-inlegrals/Numerical Computation Bureau. — Report Ns 7. — Tokyo, 1953.
E1(Z) + In I z 1 = CM) + In E - ISa(S), z = Ее'«, I = 0(0.05)5, a = 0°(2«)60°(1°)90°, 6D;
Ze1E1(Z) - Л„(ї]) ехр[/Фа(ї))], z = - <•'«, 1
Tj = 0.01(0.01)0.2, a - 0°(2°)60°(1»)90", 5-6D.
5.29. Miller G. F. Tables of generalized exponential
integrals/National Physical Laboratory. — L.: Her Majesty's Stationery Office, 1958. — (Mathematical Tables; V. 3).
(x + n) e*E„(x), X = 0(0.01)1, n = 1(1)8, X = 0(0.1)20, n - 1(1)24, х-1 = 0(0.001)0.05, n = 1(1)24; 8D.
5.30. Miller J., Ger ha user J. MilMatsen F. A.
Quantum chemistry integrals and tables. -- Austin: Univ. of Texas Press, 1959.
ая(х), X = 0.125(0.125)25, и = 0(1)16, 14S;
?„(x), X = 0(0.125)24.875, л = 0(1)16, 12-14S.
5.31. Miller J., Hurst R. P. Simplified calculation of
the exponential integral. — Math. Tables Aids Сотр., 1958, 12, p. 187-193.
e~* Ei(x), Ei(x), C=cE1(X), E1(X),
X « 0.2(0.05)5(0.1)10(0.2)20(0.5)50(1)80, 16S.
5.32. National Bureau of Standards. Tables of sine, cosine