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 New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: 4. Elementary Transcendental Functions Logarithmic, Exponential, Circular and Hyperbolic Functions Mathematical Properties 4.1.1 4.1. Logarithmic Function Integral Representation 7r lo X -T 1 z = x + i y FIGURE 4.1. Branch cut for In z and 9. (a not an integer or zero.) where the path of integration does not pass through the origin or cross the negative real axis. In z is a single-valued function, regular in the z-plane cut along the negative real axis, real when z is positive. z = x + iy = re1@. 4.1.2 In z=ln r+ie (--?r