Extremal problems for functions of positive real part with a fixed coefficient and applications

P. D. Tuan; V. V. Anh

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 2, page 302-312
  • ISSN: 0011-4642

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Tuan, P. D., and Anh, V. V.. "Extremal problems for functions of positive real part with a fixed coefficient and applications." Czechoslovak Mathematical Journal 30.2 (1980): 302-312. <http://eudml.org/doc/13199>.

@article{Tuan1980,
author = {Tuan, P. D., Anh, V. V.},
journal = {Czechoslovak Mathematical Journal},
keywords = {functions of positive real part; spiral-like functions; radius of convexity},
language = {eng},
number = {2},
pages = {302-312},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extremal problems for functions of positive real part with a fixed coefficient and applications},
url = {http://eudml.org/doc/13199},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Tuan, P. D.
AU - Anh, V. V.
TI - Extremal problems for functions of positive real part with a fixed coefficient and applications
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 2
SP - 302
EP - 312
LA - eng
KW - functions of positive real part; spiral-like functions; radius of convexity
UR - http://eudml.org/doc/13199
ER -

References

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  1. P. Duren, 10.1007/BFb0096821, Lecture Notes in Mathematics, Springer-Verlag, Vol 599, 1977. (1977) Zbl0372.30013MR0454001DOI10.1007/BFb0096821
  2. M. Finkelstein, 10.1090/S0002-9939-1967-0214749-8, Proc. Amer. Math. Soc., 18 (1967), 412-418. (1967) Zbl0165.09701MR0214749DOI10.1090/S0002-9939-1967-0214749-8
  3. T. H. Gronwall, 10.1073/pnas.6.6.300, Proc. Nat. Acad. Sci. U.S.A., 6 (1920), 300-302. (1920) DOI10.1073/pnas.6.6.300
  4. W. Janowski, Some extremal problems for certain families of analytic functions I, Ann. Polon. Math., 28 (1973), 298-326. (1973) Zbl0275.30009MR0328059
  5. R. J. Libera, A. E. Livingston, Bounded functions with positive real part, Czechoslovak Math. J., 22 (97) (1972), 195-209. (1972) Zbl0242.30009MR0297987
  6. С. P. McCarty, 10.1090/S0002-9939-1974-0325949-4, Proc. Amer. Math. Soc., 42 (1974), 153-160. (1974) Zbl0286.30005MR0325949DOI10.1090/S0002-9939-1974-0325949-4
  7. Z. Nehari, Conformal mapping, McGraw-Hill Book Co., New York, 1952. (1952) Zbl0048.31503MR0045823
  8. D. E. Tepper, 10.1090/S0002-9947-1970-0268370-0, Trans. Amer. Math. Soc., 150 (1970), 519-528. (1970) Zbl0203.38404MR0268370DOI10.1090/S0002-9947-1970-0268370-0

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