Abstract
Let
(Communicated by Stanisława Kanas)
Acknowledgement
The project is supported by the National Natural Science Foundation of China (No. 11671306).
References
[1] Ali, R. M.—Jain, N.K.—Ravichandran, V.: On the radius constants for classes of analytic functions, Bull. Malays. Math. Sci. Soc. 36(1) (2013), 23–38.Suche in Google Scholar
[2] Bieberbach, L.: Über die Koeffizienten der einigen Potenzreihen welche eine schlichte Abbildung des Einheitskreises vermitten, S. B. Preuss. Akad. Wiss, 1916.Suche in Google Scholar
[3] Bhowmik, B.—Ponnusamy, S.—Wirths, K. J.: On the Fekete-Szegö problem for concave univalent functions, J. Math. Anal. Appl. 373 (2011), 432–438.10.1016/j.jmaa.2010.07.054Suche in Google Scholar
[4] Cartan, H.: Sur la possibilité détendre aux fonctions de plusieurs variables complexes la théorie des fonctions univalentes. In: Lecons sur les Fonctions Univalentes ou Multivalentes (P. Montel, ed.), Gauthier-Villars, Paris, 1933.Suche in Google Scholar
[5] Fekete, M.—Szegö, G.: Eine Bemerkunguber ungerade schlichte Funktionen, J. Lond. Math. Soc. 8 (1933), 85–89.10.1112/jlms/s1-8.2.85Suche in Google Scholar
[6] Graham, I.—Hamada, H.—Kohr, G.: Parametric representation of univalent mappings in several complex variables, Canad. J. Math. 54 (2002), 324–351.10.4153/CJM-2002-011-2Suche in Google Scholar
[7] Graham, I.—Hamada, H.—Honda, T.—Shon, K. H.: Growth, distortion and coefficient bounds for Carathéodory families in ℂn and complex Banach spaces, J. Math. Anal. Appl. 416 (2014), 449–469.10.1016/j.jmaa.2014.02.033Suche in Google Scholar
[8] Gong, S.: The Bieberbach Conjecture, Amer. Math. Soc., International Press, Providence, RI, 1999.10.1090/amsip/012Suche in Google Scholar
[9] Hamada, H.—Kohr, G.—Liczberski, P.: Starlike mappings of order α on the unit ball in complex Banach spaces, Glas. Mat. Ser. 36(3) (2001), 39–48.Suche in Google Scholar
[10] Hamada, H.—Honda, T.—Kohr, G.: Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representationt, J. Math. Anal. Appl. 317 (2006), 302–319.10.1016/j.jmaa.2005.08.002Suche in Google Scholar
[11] Kanas, S.—Darwish, H. E.: Fekete-Szegö problem for starlike and convex functions of complex order, Appl. Math. Lett. 23 (2010), 777–782.10.1016/j.aml.2010.03.008Suche in Google Scholar
[12] Kanas, S.: An unified approach to the Fekete-Szegö problem, Appl. Math. Comput. 218 (2012), 8453–8461.10.1016/j.amc.2012.01.070Suche in Google Scholar
[13] Kohr, G.: On some best bounds for coefficients of subclasses of univalent holomorphic mappings in ℂn. Complex Var. 36 (1998), 261–284.10.1080/17476939808815113Suche in Google Scholar
[14] Koepf, W.: On the Fekete-Szegö problem for close-to-convex functions, Proc. Amer. Math. Soc. 101 (1987), 89–95.10.2307/2046556Suche in Google Scholar
[15] Kowalczyk, B.—Lecko, A.: Fekete-Szegö problem for a certain subclass of close-to-convex functions, Bull. Malays. Math. Sci. Soc. 38 (2015), 1393–1410.10.1007/s40840-014-0091-zSuche in Google Scholar
[16] Luo, H.—Xu, Q. H.: On the Fekete and Szegö inequality for the subclass of strongly starlike mappings of order α, Results Math. 72 (2017), 343–357.10.1007/s00025-017-0650-3Suche in Google Scholar
[17] Liu, T. S.—Xu, Q. H.: Fekete and Szegö inequality for a subclass of starlike mappings of order α on the bounded starlike circular domain in ℂn, Acta Math. Sci. 37B (2017), 722–731.10.1016/S0252-9602(17)30033-4Suche in Google Scholar
[18] Liu, T. S.—Ren, G. B.: The growth theorem for starlike mappings on the bounded starlike circular domain, Chin. Ann. Math. 19B (1998), 401–408.Suche in Google Scholar
[19] Liu, X. S.—Liu, T. S.: The estimates of all homogeneous expansions for a subclass of biholomorphic mappings which have parametric representation in several complex variables, Acta Math. Sin. (Engl. Ser.) 33 (2017), 287–300.10.1007/s10114-016-5226-8Suche in Google Scholar
[20] Liu, H.—Lu, K. P.: Two subclasses of starlike mappings in several complex variables, Chin. Ann. Math. 21B (2000), 533–546.Suche in Google Scholar
[21] Orhan, H.—Deniz, E.—Răducanu, D.: The Fekete-Szegö problem for subclasses of analytic functions defined by a differential operator related to conic domains, Comput. Math. Appl. 59 (2010), 283–295.10.1016/j.camwa.2009.07.049Suche in Google Scholar
[22] Pommerenke, C.: Univalent Functions. In: Studia Mathematica/Mathematische Lehrbucher, Vandenhoeck and Ruprecht, 1975.Suche in Google Scholar
[23] Pfluger, A.: The Fekete-Szegö inequality for complex parameters, Complex Variables Theory Appl. 7 (1986), 149–160.10.1080/17476938608814195Suche in Google Scholar
[24] Raina, R. K.—Sokól, J.: Fekete-szegö problem for some starlike functions related to shell-like curves, Math. Slovaca 66 (2016), 135–140.10.1515/ms-2015-0123Suche in Google Scholar
[25] Srivastava, H. M.—Gaboury, S.—Ghanim, F.: Initial coefficient estimates for some subclasses of m-Fold symmetric bi-univalent functions, Acta Math. Sci. 36B (2016), 863–871.10.1016/S0252-9602(16)30045-5Suche in Google Scholar
[26] Xu, Q. H.—Liu, T. S.: Biholomorphic mappings on bounded starlike circular domains, J. Math. Anal. Appl. 366 (2010), 153–163.10.1016/j.jmaa.2009.12.025Suche in Google Scholar
[27] Xu, Q. H.—Fang, F.—Liu, T. S.: On the Fekete and Szegö problem for starlike mappings of order α, Acta Math. Sin. (Engl. Ser.) 33 (2017), 554–564.10.1007/s10114-016-5762-2Suche in Google Scholar
[28] Xu, Q. H.—Liu, T. S.: On the Fekete and Szegö problem for the class of starlike mappings in several complex variables, Abstr. Appl. Anal. (2014), Art. ID 807026.10.1155/2014/807026Suche in Google Scholar
© 2019 Mathematical Institute Slovak Academy of Sciences
Artikel in diesem Heft
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Artikel in diesem Heft
- Regular papers
- On the finite embeddability property for quantum B-algebras
- A dual Ramsey theorem for finite ordered oriented graphs
- On EMV-Semirings
- A nonsymmetrical matrix and its factorizations
- On weakly 𝓗-permutable subgroups of finite groups
- The left Riemann-Liouville fractional Hermite-Hadamard type inequalities for convex functions
- A geometrical version of Hardy-Rellich type inequalities
- On a Choquet-Stieltjes type integral on intervals
- Uniqueness of meromorphic functions sharing four small functions on annuli
- A subclass of uniformly convex functions and a corresponding subclass of starlike function with fixed coefficient associated with q-analogue of Ruscheweyh operator
- Functions of bounded variation related to domains bounded by conic sections
- Unified solution of Fekete-Szegö problem for subclasses of starlike mappings in several complex variables
- Oscillatory criteria for the second order linear ordinary differential equations
- When deviation happens between rough statistical convergence and rough weighted statistical convergence
- The retraction of certain banach right modules associated to a character
- On sequence spaces generated by binomial difference operator of fractional order
- Some refinements of young type inequality for positive linear map
- On the Gromov-Hausdorff limit of metric spaces
- The beta exponentiated Nadarajah-Haghighi distribution: theory, regression model and application
- Hilbert algebras with supremum generated by finite chains