ABSTRACT

The curves in this chapter are found in Abramowitz, 1 and the names and notation used here conform with that reference. The approximations necessary to compute these curves are also given there; for purposes of illustrating the curves, the approximations were implemented such that accuracy was attained to at least three significant figures for all plotted points of a curve. Such accuracy is sufficient for illustrative purposes and was efficiently achieved in all cases. The curves shown in this chapter are only representative, and the interested reader should, when necessary, consult the above reference, or similar ones such as Jahnke and Emde, 2 Beyer, 3 and Gradshteyn et al., 4 for a complete treatment of these curves. The reader should be aware that many of the functions are defined for a complex argument while they are usually only plotted for a real argument in this chapter, thus showing only a vertical slice of the three-dimensional surface over the complex plane.