Graphical interpretation and visualizing the Complex Roots of Transcendental functions with Real Coefficients.

[size=85]Enter the values of the coefficients [b]a[/b] and [b]b[/b] of the [b][i]Transcendental function[/i][/b] and find its [b][color=#333333]Roots[/color][/b]. [br] [i]Graphical interpretation the [b]Roots[/b][/i]: the [i]intersection of implicit functions[/i], which are the zeroed real and imaginary parts of the complex function [b]f(z)[/b], respectively: real(f(z))=0 and imaginary(f(z))=0.[br] In the general case, these roots can be found numerically. Here, one can explore them by [i]moving the test point[/i] [b][color=#ff0000]z[/color][/b] to the intersection points of the considered implicit functions and make sure that in these cases, [b][color=#ff0000]f[sub]z[/sub][/color][/b]=f(z) is at the origin i.e. z ist the [b]root[/b] of the original equation.[br] Another example can be found in the applet https://www.geogebra.org/m/nff3yaah[br]*New [url=https://www.geogebra.org/m/spsahker]version[/url] available.[/size]

Information: Graphical interpretation and visualizing the Complex Roots of Transcendental functions with Real Coefficients.