On certain coefficient bounds for multivalent functions

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.

Certain Coefficient Bounds for p-Valent Functions

On Certain Multivalent Functions

Let ᏿ * (p,α) be the class of functions f (z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f (z) to be in the class ᏿ * (p,α). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution , and reproduction in any ...

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 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...