Integrals

This module documentation contains details about Meijer G-functions and SymPy integrals. functions.

Contents

• Computing Integrals using Meijer G-Functions
  • Overview
  • Polar Numbers and Branched Functions
  • Representing Branched Functions on the Argand Plane
  • Table Lookups and Inverse Mellin Transforms
  • Applying the Integral Theorems
• The G-Function Integration Theorems
  • Conditions of Convergence for Integral (1)
  • Conditions of Convergence for Integral (2)
• The Inverse Laplace Transform of a G-function
  • How to compute the integral
  • When this computation is valid
  • When the integral exists
• Implemented G-Function Formulae
• Internal API Reference
  • _CoeffExpValueError
  • _check_antecedents()
  • _check_antecedents_1()
  • _check_antecedents_inversion()
  • _condsimp()
  • _create_lookup_table()
  • _dummy()
  • _dummy_()
  • _eval_cond()
  • _exponents()
  • _find_splitting_points()
  • _flip_g()
  • _functions()
  • _get_coeff_exp()
  • _guess_expansion()
  • _inflate_fox_h()
  • _inflate_g()
  • _int0oo()
  • _int0oo_1()
  • _int_inversion()
  • _is_analytic()
  • _meijerint_definite_2()
  • _meijerint_definite_3()
  • _meijerint_definite_4()
  • _meijerint_indefinite_1()
  • _mul_args()
  • _mul_as_two_parts()
  • _my_principal_branch()
  • _mytype()
  • _rewrite1()
  • _rewrite2()
  • _rewrite_inversion()
  • _rewrite_saxena()
  • _rewrite_saxena_1()
  • _rewrite_single()
  • _split_mul()
  • meijerint_definite()
  • meijerint_indefinite()
  • meijerint_inversion()
• Integrals
  • Examples
  • Integral Transforms
  • Internals
  • API reference
  • TODO and Bugs
  • References
  • Examples
  • For 2D Polygons
  • For 3-Polytopes/Polyhedra
  • API reference