Abramowitz M., Stegun I.A. (eds.) — Handbook of mathematical functions (without numerical tables) :: Электронная библиотека попечительского совета мехмата МГУ

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Abramowitz M., Stegun I.A. (eds.) — Handbook of mathematical functions (without numerical tables)

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Название: Handbook of mathematical functions (without numerical tables)

Авторы: Abramowitz M., Stegun I.A. (eds.)

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 10

Год издания: 1972

Количество страниц: 512

Добавлена в каталог: 02.10.2015

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Spherical Bessel functions, computation of      452
Spherical Bessel functions, cross products of      439
Spherical Bessel functions, definitions      437
Spherical Bessel functions, degenerate forms      440
Spherical Bessel functions, derivatives with respect to order      440
Spherical Bessel functions, differential equation      437
Spherical Bessel functions, differentiation formulas      439
Spherical Bessel functions, duplication formula      440
Spherical Bessel functions, Gegenbauer's generalization for      438
Spherical Bessel functions, generating functions for      439
Spherical Bessel functions, graphs of      438
Spherical Bessel functions, infinite series involving $j^{(2)}_{n}(z)$       440
Spherical Bessel functions, limiting values as $z\rightarrow0$       437
Spherical Bessel functions, modulus and phase      439
Spherical Bessel functions, Poisson's integral for      438
Spherical Bessel functions, Rayleigh's formula for      439
Spherical Bessel functions, recurrence relations      439
Spherical Bessel functions, relation to Fresnel integrals      440
Spherical Bessel functions, representations by elementary functions      437
Spherical Bessel functions, tables of      457
Spherical Bessel functions, Wronskian relations      437
Spherical Bessel functions, zeros and their asymptotic expansions      440
Spherical polynomials (Legendre)      332 see
Spherical triangles, solution of      79
Spheroidal wave functions      751
Spheroidal wave functions, asymptotic behavior of      756
Spheroidal wave functions, asymptotic expansions of      755
Spheroidal wave functions, characteristic values for      753 756
Spheroidal wave functions, differential equations      753
Spheroidal wave functions, evaluation of coefficients for      755
Spheroidal wave functions, expansions for      755
Spheroidal wave functions, joining factors for      757
Spheroidal wave functions, normalization of      755
Spheroidal wave functions, table of eigenvalues of      760
Spheroidal wave functions, table of prolate joining factors      769
Spheroidal wave functions, tables of      766
Stirling numbers      824
Stirling numbers, table of the first kind      833
Stirling numbers, table of the second kind      835
Stirling's formula      257
Struve's functions      495
Struve's functions, asymptotic expansions for large $\mid z \mid$       497 498
Struve's functions, asymptotic expansions for large orders      498
Struve's functions, computation of      499
Struve's functions, differential equation      496
Struve's functions, graphs of      496
Struve's functions, integral representations of      496 498
Struve's functions, integrals      497 498
Struve's functions, modified      498
Struve's functions, power series expansion for      496 498
Struve's functions, recurrence relations      496 498
Struve's functions, relation to Weber's function      498
Struve's functions, special properties of      497
Struve's functions, tables of      501
Student's t-distribution      948
Student's t-distribution, approximations to      949
Student's t-distribution, asymptotic expansion of      949
Student's t-distribution, limiting distribution      949
Student's t-distribution, non-central      949
Student's t-distribution, series expansions for      948
Student's t-distribution, statistical properties of      948
Subtabulation      881
Summable series      1005
Summation of rational series      264
Sums of positive powers      813
Sums of powers      804
Sums of reciprocal powers      807 811
Systems of differential equations of first order      897
Taylor expansion      880
Taylor's formula      14
Tesseral harmonics      332

Tetrachorie functions      934
Tetragamma function      260 see
Theta functions      576
Theta functions, addition of quarter-periods      577
Theta functions, calculation by use of the arithmetic-geometric mean      577 580
Theta functions, expansions in terms of the nome q      576
Theta functions, Jacobi's notation for      577
Theta functions, logarithmic derivatives of      576
Theta functions, logarithms of sum and difference      577
Theta functions, Neville's notation for      578 582
Theta functions, relation to Jacobi's zeta function      578
Theta functions, relation with Weierstrass elliptic functions      650
Theta functions, relations between squares of the functions      576
Thiele's interpolation formula      881
Toroidal functions      336
Toronto function      509
Trapezoidal rule      885
Triangle inequality      11
Trigamma function      260 see
Trigonometric functions      71 see
Truncated exponential function      70 262
Ultraspherical polynomials      774 see
Ultraspherical polynomials, coefficients for and $x^{n}$ in terms of      794
Ultraspherical polynomials, graphs of      776
Unit step function      1020
Variance      928
Variance-ratio distribution function      946 see
Vector-addition coefficients      1006
Wallis' formula      258
Wave equation in prolate and oblate spheroidal coordinates      752
Weber's function      498
Weber's function, relation to Anger's function      498
Weber's function, relation to Struve's function      498
Weierstrass elliptic function      627
Weierstrass elliptic function, addition formulas for      635
Weierstrass elliptic function, case $\Delta=0$       651
Weierstrass elliptic function, computation of      663
Weierstrass elliptic function, conformal mapping of      642 654 659
Weierstrass elliptic function, definitions      629
Weierstrass elliptic function, derivatives of      640
Weierstrass elliptic function, determination of periods from given invariants      665
Weierstrass elliptic function, determination of values at half-periods, etc., from given periods      664
Weierstrass elliptic function, differential equation      629 640
Weierstrass elliptic function, discriminant      629
Weierstrass elliptic function, equianharmonic case      652
Weierstrass elliptic function, expressing any elliptic function in terms of $\mathscr{P}$ and $\mathscr{P}^{'}$       651
Weierstrass elliptic function, fundamental period parallelogram      629
Weierstrass elliptic function, fundamental rectangle      630
Weierstrass elliptic function, homogeneity relations      631
Weierstrass elliptic function, integrals      641
Weierstrass elliptic function, invariants      629
Weierstrass elliptic function, Legendre's relation      634
Weierstrass elliptic function, lemniscatic case      658
Weierstrass elliptic function, maps of      642 654 659
Weierstrass elliptic function, multiplication formulas      635
Weierstrass elliptic function, other series involving $\mathscr{P}$ , $\mathscr{P}{'}$ , $\zeta$       639
Weierstrass elliptic function, pseudo-lemniscatic case      662
Weierstrass elliptic function, reduction formulas      631
Weierstrass elliptic function, relation with complete elliptic integrals      649
Weierstrass elliptic function, relations with Jacobi's elliptic functions      649
Weierstrass elliptic function, relations with theta functions      650
Weierstrass elliptic function, reversed series for large $\mid \mathscr{P} \mid$ , $\mid \mathscr{P}{'} \mid$ , $\mid \zeta \mid$       638
Weierstrass elliptic function, reversed series for small $\mid \sigma \mid$       640
Weierstrass elliptic function, series expansions for      635
Weierstrass elliptic function, special values and relations      633
Weierstrass elliptic function, symbolism      629
Weierstrass elliptic function, tables of      673
Whittaker functions      505
Wigner coefficients      1006
Zeta function, Jacobi's      578
Zeta function, Riemann's      256 807

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