Integration in finite terms with special functions: the error function

DOI10.1016/S0747-7171(85)80037-7zbMath0586.68030MaRDI QIDQ1071502

G. W. Cherry

Publication date: 1985

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

differential equationdifferential fielddecision procedure for integrating a class of transcendental elementary functions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Differential and difference algebra (12H99)

Related Items

Comments on Rosenlicht’s Integration in Finite Terms ⋮ Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations ⋮ Computer algebra: Past and future ⋮ Integration in finite terms with dilogarithmic integrals, logarithmic integrals and error functions ⋮ Integration of a class of transcendental Liouvillian functions with error-functions. I ⋮ A note on symbolic integration with polylogarithms ⋮ A unification of Liouvillian extensions ⋮ Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions ⋮ Formal solutions of differential equations ⋮ Integration in terms of exponential integrals and incomplete gamma functions

Cites Work

• On Liouville's theory of elementary functions
• Integration in Finite Terms with Special Functions: The Logarithmic Integral
• A Structure Theorem for Exponential and Primitive Functions
• Completing the L-th power in Z[x]
• The Problem of Integration in Finite Terms
• Symbolic integration
• Towards a general theory of special functions
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