INITIAL COEFFICIENT BOUNDS FOR SUBCLASSES OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH THE CHEBYSHEV POLYNOMIALS

키워드

참고문헌 (25)

1. S.Altinkaya, "The Chebyshev polynomial bounds for classes of univalent functions", Khayyam J. Math., 2(1), pp.1~5 (2016)
2. D.A. Brannan, "Coefficient estimates for a class of star-like functions", Canad. J. Math., 22, pp.476~485 (1970)[DOI]
3. D.A. Brannan, "On some classes of bi-univalent functions", Stadia Univ. Babes-Bulyai Math., 31(2), pp.70~77 (1986)
4. S. D. Bemardi, "Convex and starlike univalent functions", Trans. Amer. Math. Soc., 135, pp.429~446 (1969)[DOI]
5. B. C. Carlson, "Starlike and prestarlike hypergeometric functions", SIAM J. Math. Anal., 15, pp.737~745 (1984)[DOI]
6. E.H. Doha, "The first and second kind Chebyshev coefficients of the mo-ments of the general-order derivative of an infinitely differentiable function", Intern. J. Comput. Math., 51, pp.21~35 (1994)[DOI]
7. P.L. Duren, "Grundlehren der Mathematischen Wissenschaften, Band 259" (1983), Springer-Verlag
8. J. Dziok, "Application of Chebyshev polynomials to classes of analytic functions", C. R. Acad. Sci. Paris, Ser. I, 353, pp.433~438 (2015)[DOI]
9. J. Dziok, "Certain subclasses of analytic functions associated with the generalized hypergeometric function", Intergral Transform Spec. Funct., 14, pp.7~18 (2003)[DOI]
10. D.A. Frasin, "New subclasses of bi-univalent functions", Appl. Math. Lett., 24, pp.1569~1573 (2011)[DOI]
11. Hohlov, YE, "Hadamard convolution, hypergeometric functions and linear operators in the class of univalent functions", Dokl. Akad. Nauk Ukr. SSR, Ser. A, 7, pp.25~27 (1984)
12. M. Lewin, "On a coefficient problem for bi-univalent functions", Proc. Amer. Math. Soc., 18, pp.63~68 (1967)[DOI]
13. R. J. Libera, "Some classes of regular univalent functions", Proc. Amer. Math. Soc., 16, pp.755~758 (1965)[DOI]
14. A. E. Livingston, "On the radius of univalence of certain analytic functions", Proc. Amer. Math. Soc., 17, pp.352~357 (1966)[DOI]
15. J.C. Mason, "Chebyshev polynomials approximations for the L-m embrane eigenvalue problem", SIAM J. Appl. Math., 15, pp.172~186 (1967)[DOI]
16. E. Netanyahu, "The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in <TEX>$|z|$<", TEX> < 1, 1969, pp.32, 100~112
17. G. Murugusundaramoorthy, "Subclasses of bi-univalent functions of complex order based on subor-dination conditions involving Wright hypergeometric functions", J. Math. Fund. Sci., 47(1), pp.60~75 (2015)[DOI]
18. S. Owa, "On the distortion theorems. I", Kyungpook Math. J., 18(1), pp.53~59 (1978)
19. TRAILOKYA PANIGRAHI, "Coefficient bounds for bi-univalent analytic functions associated with Hohlov operator", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(1), pp.91~100 (2013), 장전수학회
20. S. Ruscheweyh, "New criteria for Univalent Functions", Proc. Amer. Math. Soc., 49, pp.109~115 (1975)[DOI]
21. H.M. Srivastava, "Certain subclasses of analytic and bi-univalent functions", Appl. Math. Lett., 23(10), pp.1188~1192 (2010)[DOI]
22. Q.-H. Xu, "A certain subclass of analytic and closed-to convex functions", Appl. Math. Lett., 24, pp.396~401 (2011)[DOI]
23. H.M.Srivastava, "Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators and certain subclasses of analytic functions", Nagoya Math. J., 106, pp.1~28 (1987)[DOI]
24. X-F. Li, "Two new subclasses of bi-univalent functions", International Mathematical Forum, 7(30), pp.1495~1504 (2012)
25. P. Zaprawa, "On the Fekete-Szego problem for classes of bi-univalent functions", Bull. Belg. Math. Soc. Simon Stevin, 21(1), pp.169~178 (2014)

관련 논문AI추천