Triple

Target class: functional equation
Context triple: [Cauchy functional equation, instanceOf, functional equation]

• A. analytic function
  An analytic function is a complex-valued function that is locally given by a convergent power series, meaning it is differentiable at every point in its domain and in a neighborhood around each point.
• B. nonlinear function
  A nonlinear function is a mathematical relationship between variables in which the rate of change is not constant, so its graph does not form a straight line.
• C. stability concept in functional equations chosen
  A stability concept in functional equations studies how small deviations from an exact functional relationship affect the existence and form of nearby exact solutions, typically quantifying when approximate solutions imply true solutions close in some specified sense.
• D. arithmetical function
  An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
• E. 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.
• F. None of above.