Part 4

Functions of One Complex Variable: Special Part

[217/97%]

Chapter 4.1Maximum Term and Central Index, Maximum Modulus and Number of Zeros[77/99%]

Section 1Analogy between

\mu(r)

M(r)

\nu(r)

N(r)

[40/98%]

Section 2Further Results on

\mu(r)

\nu(r)

[7/100%]

Section 3Connection between

\mu(r)

\nu(r)

M(r)

N(r)

[20/100%]

\mu(r)

M(r)

under Special Regularity Assumptions[10/100%]

Chapter 4.2Schlicht Mappings[88/100%]

Section 1Introductory Material[7/100%]

Section 2Uniqueness Theorems[4/100%]

Section 3Existence of the Mapping Function[9/100%]

Section 4The Inner and the Outer Radius. The Normed Mapping Function[24/100%]

Section 5Relations between the Mappings of Different Domains[16/100%]

Section 6The Koebe Distortion Theorem and Related Topics[28/100%]

Chapter 4.3Miscellaneous Problems[52/88%]

Section 1Various Propositions[14/100%]

Section 2A Method of E. Landau[5/100%]

Section 3Rectilinear Approach to an Essential Singularity[8/100%]

Section 4Asymptotic Values of Entire Functions[7/100%]

Section 5Further Applications of the Phragm'en-Lindel"of Method[11/100%]

Section 6Supplementary Problems[7/14%]