Triple

Target class: family of orthogonal functions
Context triple: [Hermite functions, instanceOf, family of orthogonal functions]

• A. basis in functional analysis chosen
  A basis in functional analysis is a (typically countable) collection of vectors in a topological vector space such that every element of the space can be uniquely represented as a convergent linear combination of these vectors.
• B. special function
  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.
• C. summability kernel
  A summability kernel is a sequence or family of functions used to transform or average the partial sums of a series or Fourier series in such a way that convergence is improved or extended to otherwise divergent cases.
• D. equation in functional analysis
  An equation in functional analysis is a relation, typically involving functions and operators on infinite-dimensional spaces, that specifies conditions these objects must satisfy, often to study existence, uniqueness, and properties of solutions.
• E. matrix basis set
  A matrix basis set is a collection of matrices that forms a minimal, linearly independent set spanning a matrix space, allowing any matrix in that space to be expressed as a unique linear combination of those basis matrices.
• F. None of above.