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Coefficient bounds for $p$-valently close-to-convex functions associated with vertical strip domain

Serap Bulut
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.06|한국수학논문집 (Korean Journal of Mathematics)|제29권 제2호|pp. 395-407

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참고문헌

키워드

Analytic functionssubordinationclose-to-convex functionscoefficient bounds
주제분류수학

초록

By considering a certain univalent function that maps the unit disk $\mathbb{U}$ onto a strip domain, we introduce new subclasses of analytic and $p$-valent functions and determine the coefficient bounds for functions belonging to these new classes. Relevant connections of some of the results obtained with those in earlier works are also provided.

Abstract

By considering a certain univalent function that maps the unit disk $\mathbb{U}$ onto a strip domain, we introduce new subclasses of analytic and $p$-valent functions and determine the coefficient bounds for functions belonging to these new classes. Relevant connections of some of the results obtained with those in earlier works are also provided.

참고문헌 (16)

  1. S. Bulut, "Coefficient bounds for certain subclasses of close-to-convex functions of complex order", Filomat, 31(20), pp.6401~6408 (2017)
  2. Serap Bulut, "Coefficient bounds for close-to-convex functions associated with vertical strip domain", 대한수학회논문집, 35(3), pp.789~797 (2020), 대한수학회[DOI]
  3. S. Bulut, "On coefficient bounds of some new subfamilies of close-to-convex functions of complex order related to generalized differential operator", Asian-Eur. J. Math, 13(3), pp.2050049~ (2020)
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  9. M. O. Reade, "On close-to-convex univalent functions", Michigan Math. J, 3(1), pp.59~62 (1955)
  10. M.S. Robertson, "On the theory of univalent functions", Ann. of Math, 37(2), pp.374~408 (1936)
  11. W. Rogosinski, "On the coefficients of subordinate functions", Proc. London Math. Soc. (Ser. 2), 48, pp.48~82 (1943)
  12. H. M. Srivastava, "Coefficient bounds for certain subclasses of starlike functions of complex order", Appl. Math. Lett, 24, pp.1359~1363 (2011)
  13. H. M. Srivastava, "Coefficient estimates for certain subclasses of spiral-like functions of complex order", Appl. Math. Lett, 23, pp.763~768 (2010)
  14. W. Ul-Haq, "Coefficient estimates for certain subfamilies of close-to-convex functions of complex order", Filomat, 28(6), pp.1139~1142 (2014)
  15. W. Ul-Haq, "Coefficient bounds for certain subclasses of close-to-convex functions of Janowski type", J. Comput. Anal. Appl, 16(1), pp.133~138 (2014)
  16. B. A. Uralegaddi, "Univalent functions with positive coefficients", Tamkang J. Math, 25, pp.225~230 (1994)

관련 논문AI추천

Coefficient bounds for close-to-convex functions associated with vertical strip domainSerap Bulut대한수학회 · 대한수학회논문집2020 · 제35권 제3호Coefficient estimates for functions associated with vertical strip domainSerap Bulut대한수학회 · 대한수학회논문집2022 · 제37권 제2호On coefficient problems for starlike functions related to vertical strip domains심영재, OhSang Kwon대한수학회 · 대한수학회논문집2019 · 제34권 제2호New Subclass of p-valent Close-to-convex FunctionsGagandeep Singh, Gurcharanjit Singh한국수학교육학회 · 이론수학과 교직수학2025 · 제32권 제1호SOME RESULTS ON ANALYTIC FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN권오상, 심영재장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호Coefficient estimates for certain subclass of meromorphic and bi-univalent functionsAhmad Zireh, Safa Salehian대한수학회 · 대한수학회논문집2017 · 제32권 제2호

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