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Special Functions by Roderick Wong, Richard Beals

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Orientation

The concept of “special function” is one that has no precise definition. From a practical point of view, a special function is a function of one variable that is (a) not one of the “elementary functions” – algebraic functions, trigonometric functions, the exponential, the logarithm, and functions constructed algebraically from these functions – and is (b) a function about which one can find information in many of the books about special functions. A large amount of such information has been accumulated over a period of three centuries. Like such elementary functions as the exponential and trigonometric functions, special functions arise in numerous contexts. These contexts include both pure mathematics and applications, ranging ...

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