## Table of Integrals, Series, and ProductsThe 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. |

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### Contents

1 | |

25 | |

61 | |

Chapter 34 Definite Integrals of Elementary Functions | 243 |

Chapter 5 Indefinite Integrals of Special Functions | 615 |

Chapter 67 Definite Integrals of Special Functions | 625 |

Chapter 89 Special Functions | 851 |

Chapter 10 Vector Field Theory | 1039 |

Chapter 14 Determinants | 1065 |

Chapter 15 Norms | 1071 |

Chapter 16 Ordinary differential equations | 1083 |

Chapter 17 Fourier Laplace and Mellin Transforms | 1099 |

Chapter 18 The ztransform | 1127 |

1133 | |

1137 | |

1143 | |

Chapter 11 Algebraic Inequalities | 1049 |

Chapter 12 Integral Inequalities | 1053 |

Chapter 13 Matrices and related results | 1059 |

### Common terms and phrases

acº arccos arcsin arctan arga arº Bessel functions converges cos(aa cos2 cos2a cosba cosec cosh cosh aa cosha coshx cosº cost cota coth elliptic integrals equation ET II exponentials formulas hyperbolic functions kº sinº Mathieu functions natural number Notation º º polynomials Re(a Re(p Re(v Repl Repu Reſ S1Il sin(aa sin2 sinh sinh aa sinha sinhº sinhx sinº sint ſº tana tanh tanha tanº theta functions trigonometric functions Wºº