Analytic landschaft

analytic relief, modulus surface

The geometric image of the modulus of an analytic function , . The analytic "landschaft" of a function is the surface over the -plane with -coordinate . An analytic "landschaft" sometimes provides a good illustration of the behaviour of specific functions. For the relief of the principal functions see [2].

References

[1]	A.I. Markushevich, "Theory of functions of a complex variable" , 1 , Chelsea (1977) pp. Chapt. 2 (Translated from Russian)
[2]	E. Jahnke, F. Emde, "Tables of functions with formulae and curves" , Dover, reprint (1945) (Translated from German)

Comments

Instead of the German word "Landschaft" , the English "analytic landscapelandscape" is also used.