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

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

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

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

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

Hypergeometric functions, transformation formulas      559
Incomplete beta function      263 944
Incomplete beta function, approximations to      945
Incomplete beta function, asymptotic expansions of      945
Incomplete beta function, computation of      959
Incomplete beta function, continued fraction for      944
Incomplete beta function, recurrence formulas      263 944
Incomplete beta function, relation to other functions      945
Incomplete beta function, relation to the $\chi^{2}$ -distribution      944
Incomplete beta function, relation to the binomial expansion      263
Incomplete beta function, relation to the hypergeometric function      263
Incomplete beta function, series expansion for      944
Incomplete beta function, symmetry relation      263
Incomplete gamma function      230 260 486 509
Incomplete gamma function as a confluent hypergeometric function      262
Incomplete gamma function, asymptotic expansions of      263
Incomplete gamma function, computation of      959
Incomplete gamma function, continued fraction for      263
Incomplete gamma function, definite integrals      263
Incomplete gamma function, derivatives and differential equations      262
Incomplete gamma function, graph of      261
Incomplete gamma function, Pearson's form of      262
Incomplete gamma function, recurrence formulas      262
Incomplete gamma function, series developments for      262
Incomplete gamma function, special values of      262
Incomplete gamma function, table of      978
Indeterminate forms (L'Hospital's rule)      13
Inequality, Cauchy's      11
Inequality, Cauchy's, Chebyshev's      11
Inequality, Cauchy's, Hoelder's for integrals      11
Inequality, Cauchy's, Hoelder's for sums      11
Inequality, Cauchy's, Minkowski's for integrals      11
Inequality, Cauchy's, Minkowski's for sums      11
Inequality, Cauchy's, Schwarz's      11
Inequality, Cauchy's, triangle      11
Integral of a bivariate normal distribution over a polygon      956
Integrals of circular functions      77
Integrals of exponential functions      71
Integrals of hyperbolic functions      86
Integrals of inverse circular functions      82
Integrals of inverse hyperbolic functions      88
Integrals of irrational algebraic functions      12
Integrals of logarithmic functions      69
Integrals of rational algebraic functions      12
Integration      885
Integration by parts      12
Integration, Bode's rule      886
Integration, Chebyshev's equal weight formula      887
Integration, Euler — Maclaurin summation formula      886
Integration, Filon's formula      890
Integration, five-point rule for analytic functions      887
Integration, Gaussian type formulas      887
Integration, iterated integrals      891
Integration, Lagrange formula      886
Integration, Lobatto's integration formula      888
Integration, multidimensional      891
Integration, Newton — Cotes formula      886
Integration, Radau's integration formula      888
Integration, Simpson's rule      886
Integration, trapezoidal rule      885
Interpolation      878
Interpolation, Aitken's iteration method      879
Interpolation, Bessel's formula      881
Interpolation, bivariate      882
Interpolation, Everett's formula      880
Interpolation, harmonic analysis      881
Interpolation, Invariants      629
Interpolation, inverse      881
Interpolation, Lagrange formula      878
Interpolation, Newton's divided difference formula      880
Interpolation, Newton's forward difference formula      880
Interpolation, tables of      680
Interpolation, Taylor's expansion      880
Interpolation, Thiele's formula      881
Interpolation, throwback formulas      880
Interpolation, trigonometric      881
Inverse circular functions      22 79 92
Inverse circular functions, addition and subtraction of      80
Inverse circular functions, Chebyshev approximations      82
Inverse circular functions, continued fractions for      81
Inverse circular functions, differentiation formulas      82
Inverse circular functions, graph of      79
Inverse circular functions, indefinite integrals      82
Inverse circular functions, logarithmic representation      80
Inverse circular functions, negative arguments      80
Inverse circular functions, polynomial approximations      81
Inverse circular functions, real and imaginary parts      80
Inverse circular functions, relation to inverse hyperbolic functions      80
Inverse circular functions, series expansions for      81
Inverse circular functions, table of      203
Inverse hyperbolic functions      86 93
Inverse hyperbolic functions, addition and subtraction of      87
Inverse hyperbolic functions, continued fractions for      88
Inverse hyperbolic functions, differentiation formulas      88
Inverse hyperbolic functions, graphs of      86
Inverse hyperbolic functions, indefinite integrals      88
Inverse hyperbolic functions, logarithmic representations      87
Inverse hyperbolic functions, negative arguments      87
Inverse hyperbolic functions, relation to inverse circular functions      87
Inverse hyperbolic functions, series expansions for      88
Inverse hyperbolic functions, tables of      221
Jacobi's eta function      577
Jacobi's polynomials      561 773 see
Jacobi's polynomials, coefficients for      793
Jacobi's polynomials, graphs of      773 776
Jacobi's theta function      576 see
Jacobi's zeta function      578 595
Jacobi's zeta function, addition theorem for      595
Jacobi's zeta function, calculation by use of the arithmetic-geometric mean      578
Jacobi's zeta function, g-series for      595
Jacobi's zeta function, graph of      595
Jacobi's zeta function, Jacobi's imaginary transformation      595
Jacobi's zeta function, relation to theta functions      578 595
Jacobi's zeta function, special values      595
Jacobi's zeta function, table of      619
Jacobian elliptic functions      567
Jacobian elliptic functions, addition theorems for      574
Jacobian elliptic functions, approximations in terms of circular functions      573
Jacobian elliptic functions, approximations in terms of hyperbolic functions      574
Jacobian elliptic functions, calculation by use of the arithmetic-geometric mean      571
Jacobian elliptic functions, calculation of      579 581
Jacobian elliptic functions, change of argument      572
Jacobian elliptic functions, change of parameter      573
Jacobian elliptic functions, classification of      570
Jacobian elliptic functions, complex arguments      575
Jacobian elliptic functions, definitions      569
Jacobian elliptic functions, derivatives of      574
Jacobian elliptic functions, double arguments      574
Jacobian elliptic functions, graphs of      570
Jacobian elliptic functions, half-arguments      574
Jacobian elliptic functions, integrals      575
Jacobian elliptic functions, integrals of the squares      576
Jacobian elliptic functions, Jacobi's imaginary transformation      574
Jacobian elliptic functions, Landen transformation      573
Jacobian elliptic functions, leading terms of series in powers of u      575
Jacobian elliptic functions, parameter      569
Jacobian elliptic functions, principal terms      572
Jacobian elliptic functions, quarter periods      569
Jacobian elliptic functions, reciprocal parameter      573
Jacobian elliptic functions, relation to the copolar trio      570
Jacobian elliptic functions, relation with Weierstrass functions      649
Jacobian elliptic functions, relations between squares of the functions      573
Jacobian elliptic functions, series expansions in terms of the nome q      575
Jacobian elliptic functions, special arguments      571
Kelvin functions      379 387 509
Kelvin functions of negative argument      380
Kelvin functions, ascending series for      379
Kelvin functions, ascending series for products of      381
Kelvin functions, asymptotic expansions for large arguments      381
Kelvin functions, asymptotic expansions for large zeros      383

Kelvin functions, asymptotic expansions of modulus and phase      383
Kelvin functions, asymptotic expansions of products      383
Kelvin functions, definitions      379
Kelvin functions, differential equations      379
Kelvin functions, expansions in series of Bessel functions      381
Kelvin functions, graphs of      382
Kelvin functions, indefinite integrals      380
Kelvin functions, modulus and phase      382
Kelvin functions, polynomial approximations      384
Kelvin functions, recurrence relations      380
Kelvin functions, recurrence relations for products      380
Kelvin functions, relations between      379
Kelvin functions, tables of      430
Kelvin functions, uniform asymptotic expansions for large orders      384
Kelvin functions, zeros of functions of order zero      381
Kronecker delta      822
Kummer functions      504
Kummer's transformation of series      16
l'Hospital's rule      13
Lagrange differentiation formula      882
Lagrange integration coefficients      886
Lagrange integration coefficients, table of      915
Lagrange interpolation coefficients      878
Lagrange interpolation coefficients, table of      900
Lagrange interpolation formula      878
Lagrange's expansion      14
Laguerre integration      890
Laguerre integration, abscissas and weight factors for      923
Laguerre polynomials      509 510 773 see
Laguerre polynomials, coefficients for and $x^{n}$ in terms of      799
Laguerre polynomials, graph of      780
Laguerre polynomials, values of      800
Lame's equation      641
Landen's transformation, ascending      573 598 604
Landen's transformation, descending      573 597 604
Laplace transforms      1019
Laplace transforms, definition      1020
Laplace transforms, operations      1020
Laplace transforms, tables of      1021
Laplace — Stieltjes transforms      1029
Laplace — Stieltjes transforms, tables of      1029
Laplace's equation      17
Laplacian      885
Laplacian in spherical coordinates      752
Laurent series      635
Least square approximations      790
Legendre functions      332 362 377 561 774
Legendre functions of negative argument      333
Legendre functions of negative degree      333
Legendre functions of negative order      333
Legendre functions, asymptotic expansions of      335
Legendre functions, computation of      339
Legendre functions, explicit expressions for      333
Legendre functions, graphs of      338 780
Legendre functions, integral representations of      335
Legendre functions, integrals involving      337
Legendre functions, notation for      332
Legendre functions, recurrence relations      333
Legendre functions, relation to elliptic integrals      337
Legendre functions, relations between      333
Legendre functions, Rodrigues's formula      334
Legendre functions, special values of      334
Legendre functions, summation formulas      335
Legendre functions, tables of      342
Legendre functions, trigonometric expansions of      335
Legendre functions, values on the cut      333
Legendre functions, Wronskian relation      333
Legendre polynomials      332 486 773 see
Legendre polynomials, coefficients for and $x^{n}$ in terms of      798
Legendre polynomials, graph of      338 780
Legendre polynomials, values of      342
Legendre's differential equation      332
Legendre's differential equation, solutions of      332
Leibniz' theorem for, differentiation of a product      12
Leibniz' theorem for, differentiation of an integral      11
Lemniscate constant      658
Lemniscatic case      658
Lobatto integration      888
Lobatto integration, abscissas and weight factors for      920
Logarithmic function      67 89
Logarithmic function, change of base      67 89
Logarithmic function, characteristic      89
Logarithmic function, Chebyshev approximations      69
Logarithmic function, common      68 89
Logarithmic function, continued fractions for      68
Logarithmic function, definite integrals      69
Logarithmic function, differentiation formula      69
Logarithmic function, graph of      67
Logarithmic function, indefinite integrals      69
Logarithmic function, inequalities for      68
Logarithmic function, limiting values      68
Logarithmic function, mantissa      89
Logarithmic function, polynomial approximations      68
Logarithmic function, series expansions for      68
Logarithmic function, tables of      95
Logarithmic integral      228 231 510
Logarithmic integral, graph of      231
Markoff's differentiation formula      883.
Mathematical constants      1
Mathematical constants in octal scale      1017
Mathieu functions      721
Mathieu functions, asymptotic representations of      740
Mathieu functions, comparative notation for      744
Mathieu functions, expansions for small q      730
Mathieu functions, expansions in terms of parabolic cylinder functions      742
Mathieu functions, graphs of      725 734
Mathieu functions, integral equations for      735
Mathieu functions, integral representations of      736
Mathieu functions, joining factors, table of      748
Mathieu functions, normalization of      732
Mathieu functions, orthogonality properties of      732
Mathieu functions, other properties of      735 738
Mathieu functions, power series in q for periodic solutions      725
Mathieu functions, proportionality factors      735
Mathieu functions, recurrence relations among the coefficients      723
Mathieu functions, special cases of      728
Mathieu functions, special values of      740
Mathieu functions, table of coefficients for      750
Mathieu functions, table of critical values of      748
Mathieu functions, zeros of      739
Mathieu's equation      722
Mathieu's equation, characteristic exponent      727
Mathieu's equation, characteristic exponent, generation of      727
Mathieu's equation, characteristic exponent, graphs of      728
Mathieu's equation, characteristic values      722 748
Mathieu's equation, characteristic values, asymptotic expansions of      726
Mathieu's equation, characteristic values, determination of      722
Mathieu's equation, characteristic values, graph of      724
Mathieu's equation, characteristic values, power series for      724
Mathieu's equation, Floquet solutions      727
Mathieu's equation, other solutions      730
Mathieu's equation, relation to spheroidal wave equation      722
Mathieu's equation, solutions involving products of Bessel functions      731
Mathieu's equation, stability regions of      728
Mathieu's modified equation      722
Mathieu's modified equation, radial solutions of      732
Maxima      14
Mean      928
Mean, arithmetic      10
Mean, generalized      10
Mean, geometric      10
Mean, harmonic      10
Milne's method      896
Minima      14
Minkowski's inequality for integrals      11
Minkowski's inequality for sums      11
Miscellaneous functions      997
Modified Bessel functions, $I_{\nu}(z)$ , $K_{\nu}(z)$       374
Modified Bessel functions, $I_{\nu}(z)$ , $K_{\nu}(z)$ in terms of hyper geometric functions      377
Modified Bessel functions, $I_{\nu}(z)$ , $K_{\nu}(z)$ , analytic continuation of      376

1 2 3 4 5

О проекте