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Faber polynomial coefficient estimates for certain subclass of meromorphic bi-univalent functions

Ahmad Motamednezhad|Safa Salehian
대한수학회 (The Korean Mathematical Society)|2018.10|대한수학회논문집 (Communications of the KMS)|제33권 제4호|pp. 1229-1237

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키워드

coefficient estimatesmeromorphic bi-univalent functionsmeromorphic univalent functionsFaber polynomial
주제분류수학

초록

In this paper, we obtain the coefficient bounds for subclass of meromorphic bi-univalent functions by using the Faber polynomial expansions. The results presented in this paper would generalize and improve some recent works.

Abstract

In this paper, we obtain the coefficient bounds for subclass of meromorphic bi-univalent functions by using the Faber polynomial expansions. The results presented in this paper would generalize and improve some recent works.

참고문헌 (19)

  1. H. Airault, "Differential calculus on the Faber polynomials", Bull. Sci. Math, 130(3), pp.179~222 (2006)
  2. H. Airault, "An algebra of differential operators and generating functions on the set of univalent functions", Bull. Sci. Math, 126(5), pp.343~367 (2002)
  3. A. Bouali, "Faber polynomials, Cayley-Hamilton equation and Newton symmetric functions", Bull. Sci. Math, 130(1), pp.49~70 (2006)
  4. S. Bulut, "Coefficient estimates for new subclasses of meromorphic bi-univalent functions", Int. Scholarly Research Notices, 2014, pp.5~ (2014)
  5. S. Bulut, "Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions", C. R. Math. Acad. Sci. Paris, 353(2), pp.113~116 (2015)
  6. P. L. Duren, "Coefficients of meromorphic schlicht functions", Proc. Amer. Math. Soc, 28, pp.169~172 (1971)
  7. G. Faber, "Uber polynomische Entwickelungen", Math. Ann, 57(3), pp.389~408 (1903)
  8. S. A. Halim, "Coefficient estimates for certain classes of meromorphic bi-univalent functions", C. R. Math. Acad. Sci. Paris, 352(4), pp.277~282 (2014)
  9. S. G. Hamidi, "Coefficient estimates for a class of meromorphic bi-univalent functions", C. R. Math. Acad. Sci. Paris, 351(9-10), pp.349~352 (2013)
  10. S. G. Hamidi, "Faber polynomial coefficient estimates for meromorphic bi-starlike functions", Int. J. Math. Math. Sci, 2013, pp.4~ (2013)
  11. T. Janani, "Coefficient estimates of meromorphic bistarlike functions of complex order", Internat. J. Anal. Appl, 4(1), pp.68~77 (2014)
  12. Y. Kubota, "Coefficients of meromorphic univalent functions", Kodai Math. Sem. Rep, 28(2-3), pp.253~261 (1976)
  13. Trailokya Panigrahi, "Coefficient bounds for certain subclasses of meromorphic and bi-univalent functions", 대한수학회보, 50(5), pp.1531~1538 (2013), 대한수학회
  14. C. Pommerenke, "Univalent Functions" (1975), Vandenhoeck & Ruprecht
  15. M. Schiffer, "Sur un probleme d'extremum de la representation conforme", Bull. Soc. Math. France, 66, pp.48~55 (1938)
  16. G. Schober, "Coefficients of inverses of meromorphic univalent functions", Proc. Amer. Math. Soc, 67(1), pp.111~116 (1977)
  17. G. Springer, "The coefficient problem for schlicht mappings of the exterior of the unit circle", Trans. Amer. Math. Soc, 70, pp.421~450 (1951)
  18. P. G. Todorov, "On the Faber polynomials of the univalent functions of class", J. Math. Anal. Appl, 162(1), pp.268~276 (1991)
  19. H.-G. Xiao, "Coefficient estimates for three generalized classes of meromorphic and bi-univalent functions", Filomat, 29(7), pp.1601~1612 (2015)

관련 논문AI추천

COEFFICIENT BOUNDS USING FABER POLYNOMIAL FOR A NEW SUBCLASS OF MEROMORPHIC BI-UNIVALENT FUNCTIONSSibel Yalcin, Thambidurai Janani대한수학회 · 대한수학회논문집2024 · 제39권 제4호Coefficient estimates for a subclass of analytic bi-univalent functionsAhmad Zireh, Ebrahim Analouei Adegani, Serap Bulut대한수학회 · 대한수학회보2018 · 제55권 제2호Coefficient estimates for certain subclass of meromorphic and bi-univalent functionsAhmad Zireh, Safa Salehian대한수학회 · 대한수학회논문집2017 · 제32권 제2호Coefficient bounds for certain subclasses of meromorphic and bi-univalent functionsTrailokya Panigrahi대한수학회 · 대한수학회보2013 · 제50권 제5호COEFFICIENT ESTIMATES OF MOCANU-TYPE MEROMORPHIC BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER조낙은, G. Murugusundaramoorthy, T. JANANI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호Faber polynomial coefficient estimates for analytic bi-univalent functions associated with Gregory coefficientsSerap Bulut강원경기수학회 · 한국수학논문집2024 · 제32권 제2호

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