Triple

Target class: family of orthogonal polynomials
Context triple: [Gegenbauer polynomials, instanceOf, family of orthogonal polynomials]

• A. theory of polynomial sequences
  A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
• B. tool in basic hypergeometric series
  A tool in basic hypergeometric series is a conceptual or computational method—such as transformation formulas, summation identities, or q-difference operators—used to analyze, manipulate, and evaluate expressions involving q-shifted factorials and q-series.
• C. special function chosen
  A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
• D. list of q-series identities
  A list of q-series identities is a collection of mathematical equalities involving q-series—power series in a variable q—often expressing relationships between infinite sums, products, and special functions in areas such as combinatorics, number theory, and modular forms.
• E. functional series
  A functional series is an infinite sum of functions, typically depending on a variable, studied for its convergence properties and used to represent or approximate other functions.
• F. None of above.