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Table of integrals, series, and products /
The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of...
| Call Number: | Libro Electrónico |
|---|---|
| Main Authors: | , |
| Corporate Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | Inglés Ruso |
| Published: |
Waltham, MA :
Academic Press,
[2015]
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| Edition: | Eighth edition. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Front Cover; Table of Integrals, Series, and Products; Copyright; Contents; Preface to the Eighth Edition; Acknowledgments; The Order of Presentation of the Formulas; Use of the Tables; Bernoulli and Euler Polynomials and Numbers; Elliptic Functions and Elliptic Integrals; The Jacobi Zeta Function and Theta Functions; Exponential and Related Integrals; Hermite and Chebyshev Orthogonal Polynomials; Bessel Functions; Parabolic Cylinder Functions and Whittaker Functions; Mathieu Functions; Index of Special Functions; Notation; Note on the Bibliographic References; 0 Introduction; 0.1 Finite sums.
- 0.11 Progressions0.12 Sums of powers of natural numbers; 0.13 Sums of reciprocals of natural numbers; 0.14 Sums of products of reciprocals of natural numbers; 0.15 Sums of the binomial coefficients; 0.2 Numerical series and infinite products; 0.21 The convergence of numerical series; 0.22 Convergence tests; 0.23-0.24 Examples of numerical series; 0.25 Infinite products; 0.26 Examples of infinite products; 0.3 Functional series; 0.30 Definitions and theorems; 0.31 Power series; 0.32 Fourier series; 0.33 Asymptotic series; 0.4 Certain formulas from differential calculus.
- 1.32 The representation of powers of trigonometric and hyperbolic functions in terms of functions of multiples of the argu ... 1.33 The representation of trigonometric and hyperbolic functions of multiples of the argument (angle) in terms of powers ... ; 1.34 Certain sums of trigonometric and hyperbolic functions; 1.35 Sums of powers of trigonometric functions of multiple angles; 1.36 Sums of products of trigonometric functions of multiple angles; 1.37 Sums of tangents of multiple angles; 1.38 Sums leading to hyperbolic tangents and cotangents.
- 0.41 Differentiation of a definite integral with respect to a parameter0.42 The nth derivative of a product (Leibniz's rule); 0.43 The nth derivative of a composite function; 0.44 Integration by substitution; 1 Elementary Functions; 1.1 Power of Binomials; 1.11 Power series; 1.12 Series of rational fractions; 1.2 The Exponential Function; 1.21 Series representation; 1.22 Functional relations; 1.23 Series of exponentials; 1.3-1.4 Trigonometric and Hyperbolic Functions; 1.30 Introduction; 1.31 The basic functional relations.