Appendix A. Special Functions

During the course of analysis, a number of special functions arise that cannot easily be described in terms of elementary transcendental functions (i.e., sines, exponents, logarithms, and so on) This appendix defines the special functions used in this book, providing graphs and calculation aides whenever appropriate.

Singularity Functions

Singularity functions arise whenever descriptions of discontinuous or piecewise continuous functions are studied. The first singularity function we must define is the unit step function (also called the Heaviside unit step function):

Equation A.1.1. 

The unit step function is zero for ...

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