Holonomic

The holonomic module is intended to deal with holonomic functions along with various operations on them like addition, multiplication, composition, integration and differentiation. The module also implements various kinds of conversions such as converting holonomic functions to a different form and the other way around.

Contents

• About Holonomic Functions
  • Definition
  • References
• Representation of holonomic functions in SymPy
  • HolonomicFunction
  • DifferentialOperator
  • DifferentialOperators
  • DifferentialOperatorAlgebra
• Operations on holonomic functions
  • Addition and Multiplication
  • Integration and Differentiation
  • Composition with polynomials
  • Convert to holonomic sequence
  • Series expansion
  • Numerical evaluation
  • Convert to a linear combination of hypergeometric functions
  • Convert to a linear combination of Meijer G-functions
  • Convert to expressions
• Converting other representations to holonomic
  • Converting hypergeometric functions
  • Converting Meijer G-functions
  • Converting symbolic expressions
• Uses and Current limitations
  • Integration
  • Limitations
• Internal API