Coefficient Estimate Problem for a New Subclass of Biunivalent Functions

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Magesh, N. ; Rosy, T. ; Varma, S. (2013)
  • Publisher: Hindawi Publishing Corporation
  • Journal: Journal of Complex Analysis (issn: 2314-4963, eissn: 2314-4971)
  • Related identifiers: doi: 10.1155/2013/474231
  • Subject: Mathematics | QA1-939 | Article Subject

We introduce a unified subclass of the function class Σ of biunivalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in this subclass. In addition, many relevant connections with known or... View more
  • References (14)
    14 references, page 1 of 2

    Lewin, M.. On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society. 1967; 18: 63-68

    Brannan, D. A., Clunie, J. G.. Aspects of Contemporary Complex Analysis. 1980

    Brannan, D. A., Clunie, J., Kirwan, W. E.. Coefficient estimates for a class of star-like functions. Canadian Journal of Mathematics. 1970; 22: 476-485

    Brannan, D. A., Taha, T. S.. On some classes of bi-univalent functions. Studia Universitatis Babeş-Bolyai, Mathematica. 1986; 31 (2): 70-77

    Taha, T. S.. Topics in Univalent Function Theory [Ph.D. thesis]. 1981

    Netanyahu, E.. The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in |Z|LTHEXA1. Archive for Rational Mechanics and Analysis. 1969; 32: 100-112

    Ali, R. M., Lee, S. K., Ravichandran, V., Supramaniam, S.. Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. Applied Mathematics Letters. 2012; 25 (3): 344-351

    Frasin, B. A., Aouf, M. K.. New subclasses of bi-univalent functions. Applied Mathematics Letters. 2011; 24 (9): 1569-1573

    Hayami, T., Owa, S.. Coefficient bounds for bi-univalent functions. Pan American Mathematical Journal. 2012; 22 (4): 15-26

    Li, X. F., Wang, A. P.. Two new subclasses of bi-univalent functions. International Mathematical Forum. 2012; 7 (29–32): 1495-1504

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