On certain coefficient bounds for multivalent functions

• Autorzy: Fatma Altuntaş , Muhammet Kamali
• Języki publikacji: EN

Abstrakty

EN

In the present paper, the authors obtain sharp upper bounds for certain coefficient inequalities for linear combination of Mocanu α-convex p-valent functions. Sharp bounds for [...] and [...] are derived for multivalent functions.

Słowa kluczowe

EN

Analytic functions; starlike functions; convex functions; Mocanu α-convex p-valent functions; subordination; convolution (or Hadamard product)

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2009
• Tom: 63
• Numer: 1
• Strony: 1-16

Daty

wydano

2009-01-01

online

2010-01-22

Twórcy

autor

Fatma Altuntaş

• Faculty of Sciences, Department of Mathematics, Atatürk University, 25240 Erzurum Turkey

autor

Muhammet Kamali

• Faculty of Sciences, Department of Mathematics, Atatürk University, 25240 Erzurum Turkey

Bibliografia

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• Ma, W. C., Minda, D., A unified treatment of some special classes of univalent functions, Proceedings of the Conference on Complex Analysis (Tianjin, 1992), Z. Li, F. Ren, L. Yang, and S. Zhang (Eds.), Int. Press, Cambridge, MA, 1994, 157-169.
• Owa, S., Properties of certain integral operators, Southeast Asian Bull. Math. 24, no. 3 (2000), 411-419.
• Prokhorov, D. V., Szynal, J., Inverse coefficients for (α, β)-convex functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 35 (1981), 125-143, 1984.
• Ramachandran, C., Sivasubramanian, S. and Silverman, H., Certain coefficients bounds for p-valent functions, Int. J. Math. Math. Sci., vol. 2007, Art. ID 46576, 11 pp.
• Shanmugam, T. N., Owa, S., Ramachandran, C., Sivasubramanian, S. and Nakamura, Y., On certain coefficient inequalities for multivalent functions, J. Math. Inequal. 3 (2009), 31-41.
• Sălăgean, G. Ş., Subclasses of univalent functions, Complex Analysis - fifth Romanian-Finnish Seminar, Part 1 (Bucharest, 1981), Lectures Notes in Math., 1013, Springer-Verlag, Berlin, 1983, 362-372.

Identyfikatory

DOI

10.2478/v10062-009-0001-2