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Record Nr. |
UNINA9910822269203321 |
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Autore |
Gradshtein I. S (Izrail Solomonovich) |
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Titolo |
Table of integrals, series, and products / / I.S. Gradshteyn and I.M. Ryzhik ; Alan Jeffrey, editor ; Daniel Zwillinger, associate editor ; translated from the Russian by Scripta Technica, Inc |
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Pubbl/distr/stampa |
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San Diego, : Academic Press, c2000 |
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ISBN |
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1-281-79535-6 |
9786611795351 |
0-08-054222-0 |
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Edizione |
[6th ed.] |
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Descrizione fisica |
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1 online resource (1213 p.) |
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Altri autori (Persone) |
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RyzhikI. M (Iosif Moiseevich) |
JeffreyAlan |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 1133-1142) and indexes. |
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Nota di contenuto |
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Front Cover; Table of Integrals, Series, and Products; Copyright Page; Contents; Preface to the Sixth Edition; Acknowledgments; The order of presentation of the formulas; Use of the tables; Special functions; Notation; Note on the bibliographic references; Chapter 0. Introduction; 0.1 Finite sums; 0.2 Numerical series and infinite products; 0.3 Functional series; 0.4 Certain formulas from differential calculus; Chapter 1. Elementary Functions; 1.1 Power of Binomials; 1.2 The Exponential Function; 1.3-1.4 Trigonometric and Hyperbolic Functions; 1.5 The Logarithm |
1.6 The Inverse Trigonometric and Hyperbolic FunctionsChapter 2. Indefinite Integrals of Elementary Functions; 2.0 Introduction; 2.1 Rational functions; 2.2 Algebraic functions; 2.3 The Exponential Function; 2.4 Hyperbolic Functions; 2.5-2.6 Trigonometric Functions; 2.7 Logarithms and Inverse-Hyperbolic Functions; 2.8 Inverse Trigonometric Functions; Chapter 3-4. Definite Integrals of Elementary Functions; 3.0 Introduction; 3.1-3.2 Power and Algebraic Functions; 3.3-3.4 Exponential Functions; 3.5 Hyperbolic Functions; 3.6-4.1 Trigonometric Functions; 4.2-4.4 Logarithmic Functions |
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4.5 Inverse Trigonometric Functions4.6 Multiple Integrals; Chapter 5. Indefinite Integrals of Special Functions; 5.1 Elliptic Integrals and Functions; 5.2 The Exponential Integral Function; 5.3 The Sine Integral and the Cosine Integral; 5.4 The Probability Integral and Fresnel Integrals; 5.5 Bessel Functions; Chapter 6-7. Definite Integrals of Special Functions; 6.1 Elliptic Integrals and Functions; 6.2-6.3 The Exponential Integral Function and Functions Generated by It; 6.4 The Gamma Function and Functions Generated by It; 6.5-6.7 Bessel Functions; 6.8 Functions Generated by Bessel Functions |
6.9 Mathieu Functions7.1-7.2 Associated Legendre Functions; 7.3-7.4 Orthogonal Polynomials; 7.5 Hypergeometric Functions; 7.6 Confluent Hypergeometric Functions; 7.7 Parabolic Cylinder Functions; 7.8 Meijer's and MacRobert's Functions (G and E); Chapter 8-9. Special Functions; 8.1 Elliptic integrals and functions; 8.2 The Exponential Integral Function and Functions Generated by It; 8.3 Euler's Integrals of the First and Second Kinds; 8.4-8.5 Bessel Functions and Functions Associated with Them; 8.6 Mathieu Functions; 8.7-8.8 Associated Legendre Functions; 8.9 Orthogonal Polynomials |
9.1 Hypergeometric Functions9.2 Confluent Hypergeometric Functions; 9.3 Meijer's G-Function; 9.4 MacRobert's E-Function; 9.5 Riemann's Zeta Functions (z, q), and (z), and the Functions F (z; s; v) and .(s); 9.6 Bernoulli numbers and polynomials, Euler numbers; 9.7 Constants; Chapter 10. Vector Field Theory; 10.1-10.8 Vectors, Vector Operators, and Integral Theorems; Chapter 11. Algebraic Inequalities; 11.1-11.3 General Algebraic Inequalities; Chapter 12. Integral Inequalities; 12.11 Mean value theorems; 12.21 Differentiation of definite integral containing a parameter |
12.31 Integral inequalities |
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Sommario/riassunto |
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The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems.*Completely reset edition of Gradshteyn and Ryzhik reference book*New entries and sections kept in orginal numbering system with an expanded bibliography*Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.orthogonal polynomials, theta functions, Laplace and Fourier tr |
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