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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

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