Radius of convexity of sections of a class of close-to-convex functions of order α

• Autorzy: Banu B. U. , Youvaraj G. P

Identyfikatory

DOI

10.1515/fascmath-2018-0002

• Języki publikacji: EN

Abstrakty

EN

In this paper we study radius of convexity of sections of a class of univalent close-to-convex functions on D = { z ∈ C : |z| < 1}. For functions in this class, coefficient bounds, an integral representation and radius of convexity of n^th sections have been obtained.

Słowa kluczowe

EN

univalent; close-to-convex; starlike and convex functions

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 60
• Strony: 29--35
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Banu B. U.

• Ramanujan Institute for Advanced Study in Mathematics University of Madras Chepauk, Chennai 600 005, India

autor

Youvaraj G. P

• Ramanujan Institute for Advanced Study in Mathematics University of Madras Chepauk, Chennai 600 005, India

Bibliografia

• [1] Duren P.L., Univalent Functions, Springer Verlog, 1983.
• [2] MacGregor T.H., Functions whose derivatives has a positive real part, Trans. Amer. Math. Soc., 104(1962), 532-537.
• [3] Robertson M.S., The partial sums of multivalently starlike functions, Ann. of Math., 42(1941), 829-838.
• [4] Ruschweye St., On the radius of univalence of partial sums of convex functions, Bull. Lond. Math. Soc., 4(1972), 367-369.
• [5] Ponnusamy S., Sahoo S.K., Yanagihara H., Radius of convexity of partial sums of functions in the close to convex family, Nonlinear Analysis, 95(2014), 219-228.
• [6] Small T.S., A note on the partial sums of convex schlicht functions, Bull. Lond. Math. Soc., 2(1970), 165-168.
• [7] Suffridge T., Some special classes of conformal mappings, In Handbook of complex analysis: geometric function theory (Edited by K"uhnau), Elsevier, Amsterdam, 2(2005), 309-338.
• [8] Szego G., Zur Theorie der Schlichten Abbildungen, Math. Ann, 100(1) (1928), 188-211.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).