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Some properties of analytic functions related with Booth lemniscate

Open Access
|Sep 2018

References

  1. [1] J. Booth, A Treatise on Some New Geometrical Methods, Longmans, Green Reader and Dyer, London, Vol. I (1873) and Vol. II (1877).
  2. [2] P. L. Duren, Univalent functions, Springer-Verlag, 1983.
  3. [3] P. L. Duren and Y. J. Leung, Logarithmic coefficients of univalent functions, J. Anal. Math. 36 (1979), 36–4310.1007/BF02798766
  4. [4] A. W. Goodman, Univalent Functions, Vol.I and II, Mariner, Tampa, Florida, 1983.
  5. [5] R. Kargar, A. Ebadian and J. Sokół, On Booth lemiscate and starlike functions, J. Anal. Math. Phys., (2017), https://doi.org/10.1007/s13324-017-0187-310.1007/s13324-017-0187-3
  6. [6] R. Kargar, A. Ebadian and L. Trojnar-Spelina, Further results for starlike functions related with Booth lemniscate, Iran. J. Sci. Technol. Trans. Sci. (accepted), arXiv:1802.03799.
  7. [7] K. Kuroki and S. Owa, Notes on New Class for Certain Analytic Functions, RIMS Kokyuroku Kyoto Univ., 1772 (2011), 21–25.
  8. [8] W. Rogosinski, On the coefficients of subordinate functions, Proc. London Math. Soc., 48 (1943), 48–82.10.1112/plms/s2-48.1.48
  9. [9] W. Ma and D. Minda, Uniformly convex functions, Ann. Polon. Math., 57 (1992) 165–175.10.4064/ap-57-2-165-175
  10. [10] K. Piejko and J. Sokół, Hadamard product of analytic functions and some special regions and curves, J. Inequal. Appl., (2013), 2013:420.10.1186/1029-242X-2013-420
  11. [11] K. Piejko and J. Sokół, On Booth lemniscate and hadamard product of analytic functions, Math. Slovaca65 (2015), 1337–1344.10.1515/ms-2015-0093
  12. [12] J. Stankiewicz, Quelques problèmes extrémaux dans les classes des fonctions α-angulairement étoilées, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 20 (1966), 59–75.
Language: English
Page range: 112 - 124
Submitted on: Jul 3, 2017
Published on: Sep 10, 2018
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2018 P. Najmadi, Sh. Najafzadeh, A. Ebadian, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.