Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials

Coefficient Bounds for Certain Subclasses of Analytic Functions Defined by Komatu Integral Operator

Serap Bulut School of Civil Aviation College, Kocaeli University, Arslanbey Campus, 41285 Izmit-Kocaeli, Turkey Correspondence should be addressed to Serap Bulut, [email protected] Received 23 March 2012; Accepted 11 July 2012 Academic Editor: Yuri Latushkin Copyright q 2012 Serap Bulut. This is an open access article distributed under the Creative Commons Attribution License, which pe...

Certain Coefficient Bounds for p-Valent Functions

Coefficient Bounds for Certain Subclasses of Bi-univalent Functions

In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions. Also, we find estimates of |a2| and |a3|. Some related consequences of the results are also pointed out. Mathematics Subject Classification: 30C45

Coefficient bounds for certain classes of multivalent functions

In this paper, sharp upper bounds for ∣∣ap+2 − ηa2p+1∣∣ and |ap+3| are derived for a class of Mocanu α-convex p-valent functions defined by an extended linear multiplier differential operator (LMDO) J δ p (λ, μ, l). Mathematics Subject Classification (2010): Primary 30C45, 30C50, Secondary 30C80.

Coefficient Bounds for Certain Classes of Meromorphic Functions

Sharp bounds for |a1 − μa0| are derived for certain classes Σ∗ φ and Σα φ of meromorphic functions f z defined on the punctured open unit disk for which −zf ′ z /f z and − 1 − 2α zf ′ z αz2f ′′ z / 1 − α f z − αzf ′ z α ∈ C − 0, 1 ; R α ≥ 0 , respectively, lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also, certain applications of the main results for a...