caop.org

What It Is

CAOP (Computer Algebra & Orthogonal Polynomials) is a web-based tool for research on orthogonal polynomials, mainly used to compute formulas for orthogonal polynomials in the Askey-Wilson scheme. According to the page description, it runs on Maple capabilities, but users do not need to install Maple on their own computers to perform the relevant symbolic computations through the web interface.

Core Features and Technical Basis

The current version of CAOP supports computing recurrence equations, differential equations, and difference equations, all of which are key objects in the study of orthogonal polynomials. It also allows users to multiply a polynomial family by a scaling function, change the independent variable, and assign parameter values before computation. This suggests that the tool is not merely a fixed-formula lookup service, but has some symbolic transformation and customizable computation capabilities. Its computation process calls Wolfram Koepf’s hsum17 (Hypergeometric Summation) and qsum17 (q-Hypergeometric Summation) programs, which are related to the book Hypergeometric Summation, giving it a clear academic foundation.

Pricing, Openness, and Integration

The captured text does not disclose pricing, account requirements, payment methods, or commercial service information. It also does not state whether CAOP is open source or whether self-hosting is supported. From a developer-tool perspective, the page does not mention APIs, SDKs, command-line tools, or integration with ecosystems such as IDEs, notebooks, or CI. As such, it is more like a specialized academic web calculator than a modern platform-style developer tool.

Pros and Cons

Its main strength is its highly focused positioning: it serves computations related to the Askey-Wilson scheme, orthogonal polynomials, hypergeometric summation, and q-hypergeometric summation. It also lowers the barrier to using Maple by removing the need for a local installation. The drawbacks are also clear: its scope is narrow, documentation and examples appear limited, and there is no clear information on service support, versioning strategy, APIs, or extensible deployment options. It is not suitable for teams that need engineering-oriented integration.

Who It’s For and Access from China

CAOP is suitable for mathematics researchers, students and instructors in symbolic computation, and anyone who needs to quickly verify formulas for orthogonal polynomials. If you need a general-purpose computer algebra system, Maple, Mathematica, SageMath, or SymPy may be better options. The text does not provide information about access from mainland China, so actual network connectivity should be tested. Payment information is also unknown.