https://orcid.org/0000-0001-9171-3548
References
- Duren P. Univalent functions. New York (NY): Springer-Verlag; 1983.
- Royster WC. On the univalence of a certain integral. Mich Math J. 1965;12:385–387.
- Kim WJ, Merkes EP. On an integral of powers of a spiral like function. Kyungpook Math J. 1972;12(2):249–253.
- Pfaltzgraff JA. Univalence of the integral of f′(z)λ. Bull Lond Math Soc. 1975;7(3):254–256.
- Bhowmik B, Satpati G, Sugawa T. Quasiconformal extension of meromorphic functions with nonzero pole. Proc Amer Math Soc. 2016;144(6):2593–2601.
- Bhowmik B, Satpati G. Loewner chain and quasiconformal extension of some classes of univalent functions. Complex Var Elliptic Equ. 2020;65(4):544–557.
- Becker J. Löwnersche differentialgleichung und quasi-konform forttsetzbare schlichte funktionen. J Reine Angew Math. 1972;225:23–43.
- Ahlfors LV. Sufficient conditions for quasiconformal extension. Ann Math Stud. 1974;79:23–29.
- Robertson MS. Univalent functions f(z) for which zf′(z) is spiral like. Mich Math J. 1969;16:97–101.
- Hernández R, Martín MJ. Quasiconformal extension of harmonic mappings in the plane. Ann Acad Sci Fenn Math. 2013;38(2):617–630.
- Hernández R, Martín MJ. Pre-Schwarzian and Schwarzian derivatives of harmonic mappings. J Geom Anal. 2015;25(1):64–91.
- Sheil-Small T. Constants for planar harmonic mappings. J Lond Math Soc. 1990;42:237–248.
- Bravo V, Hernández R, Venegas O. On the univalence of certain integral for harmonic mappings. J Math Anal Appl. 2017;455(1):381–388.
- Pommerenke C. Linear-invariante familien analytischer funktionen I. Math Ann. 1964;155:108–154.
- Arbeláez H, Bravo V, Hernández R, et al. A new approach for the univalence of certain integral of harmonic mappings. Indag Math. 2020;31(4):525–535.
- Chen X, Que Y. Quasiconformal extensions of harmonic mappings with a complex parameter. J Aust Math Soc. 2017;102(3):307–315.
- Hotta I, Wang L-M. Quasiconformal extendability of integral transforms of Noshiro-Warschawski functions. Rocky Mountain J Math. 2017;47(1):185–204.
- Hotta I, Wang L-M. Boundedness, univalence and quasiconformal extension of Robertson functions. Indian J Pure Appl Math. 2011;42(4):239–248.
- Pommerenke C. Univalent functions. Göttingen: Vandenhoeck & Ruprecht; 1975.
- Becker J. Conformal mappings with quasiconformal extensions. In: Aspects of contemporary complex analysis (Proc. NATO Adv. Study Inst., Univ. Durham, Durhum, 1979). London: Academic Press; 1980. p. 37–77.