The logarithmic coefficients of functions in the class S

A. Z. Grinshpan

doi:10.1007/bf00968391

journal article Sep 01, 1972

The logarithmic coefficients of functions in the class S

A. Z. Grinshpan

Siberian Mathematical Journal Vol. 13 No. 5 pp. 793-801 · Springer Science and Business Media LLC

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References

12

[1]

V. I. Smirnov and N. A. Lebedev, The Constructive Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1964).

[2]

Ch. Pommerenke, “Relations between the coefficients of a univalent function,” Invent. Math.,3, 1–15, (1967). 10.1007/bf01425487

[3]

Ch. Pommerenke, “Über die faberschen polynome schlichter funktionen,” Math. Z.,85, 197–208 (1964). 10.1007/bf01112141

[4]

I. M. Milin, “On coefficients of univalent functions,” Doklady Academy of Sciences SSSR,176, No. 5, 1015–1018 (1967).

[5]

I. M. Milin, Univalent Functions and Orthogonal Systems [in Russian], Nauka, Moscow (1971).

[6]

M. S. Robertson, “A remark on the odd schlicht functions,” Bull. Amer. Math. Soc.,42, No. 2, 366–370 (1936). 10.1090/s0002-9904-1936-06300-7

[7]

W. K. Hayman, “Asymptotic properties of p-valent functions,” Proc. Lond. Math. Soc., (3),5, 257–284 (1955). 10.1112/plms/s3-5.3.257

[8]

L. Bieberbach, “Über die Koeffizienten derjenigen Potenzreichen, welche eine schlichte Abbildung des Einheitskreises vermitteln, Sitzgsber. Preuss. Akad. Wiss., Phys.-Math. K1., 940–955 (1916).

[9]

I. E. Bazilevich, “Zum koeffizientenproblem der schlichten funktionen,” Mathematical Sbornik,1, (45), No. 2, 221–228 (1936).

[10]

Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen

Helmut Grunsky

Mathematische Zeitschrift 1939 10.1007/bf01580272

[11]

P. R. Garabedian, G. G. Ross, and M. Schiffer, “On the Bieberbach conjecture for even n,” J. Math. and Mech.,14, No. 6, 975–989 (1965).

[12]

P. R. Garabedian and M. Schiffer, “The local maximum theorem for the coefficients of univalent functions,” Arch. Rat. Mech. and Anal.,26, No. 1, 1–32 (1967). 10.1007/bf00283856

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Published: Sep 01, 1972
Vol/Issue: 13(5)
Pages: 793-801
License: View

Authors

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A. Z. Grinshpan

a Mineral Processing Research and Design Institute , Leningrad, USSR , 199026

Cite This Article

A. Z. Grinshpan (1972). The logarithmic coefficients of functions in the class S. Siberian Mathematical Journal, 13(5), 793-801. https://doi.org/10.1007/bf00968391

The logarithmic coefficients of functions in the class S

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