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This section surveys 33 Special functions and highlights the main ideas, methods, and applications associated with the area.
This subtopic studies elementary special functions, including classical families that serve as building blocks for more advanced special-function theory.
This subtopic studies hypergeometric functions, including classical special functions, differential equations, and transformation formulas.
This subtopic studies basic hypergeometric functions, emphasizing q-analogues, special identities, and discrete deformation of classical theory.
This subtopic studies other special functions, collecting additional families that arise in analysis, mathematical physics, and asymptotic questions.
This subtopic studies computational aspects of special functions, focusing on algorithmic evaluation, symbolic manipulation, and numerical stability.