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There is no general formal definition, but the list of mathematical functions contains functions which are commonly accepted as special.
- Results about special functions can be found here.
- 1961: Ian N. Sneddon: Special Functions of Mathematical Physics and Chemistry (2nd ed.) ... (next): Chapter $\text I$: Introduction: $\S 1$. The origin of special functions
- 1992: Larry C. Andrews: Special Functions of Mathematics for Engineers (2nd ed.) ... (next): Preface to the First Edition