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The estimates for the second Hankel determinant a 2 a 4 – a 2 3 of the analytic function f (z) = z + a 2 z 2 + a 3 z 3 + · · · , for which either zf (z)/f (z) or 1 + zf (z)/f (z) is subordinate to a certain analytic function, are investigated. The estimates for the Hankel determinant for two other classes are also obtained. In particular, the estimates for… (More)

- Abhishek K. Jain, Nimita Manocha, V. Ravichandran, V. K. Mourya, R. K. Agrawal, Hari Singh Gour
- 2008

In pursuit of better CRTh 2 receptor antagonist agents, 3D-QSAR studies were performed on a series of 2,4-disubstituted-phenoxy acetic acid derivatives. In this paper we report a novel three-dimensional QSAR approach, kNN-MFA, developed based on principles of the k-nearest neighbor method combined with various variable selection procedures. The kNN-MFA… (More)

The general classes of multivalent starlike, convex, close-to-convex and quasi-convex functions are introduced. These classes provide a unified treatment to various known subclasses. Inclusion and convolution properties are derived using the methods of convex hull and differential subordination.

- V. RAVICHANDRAN, H. M. Srivastava, R. RAJALAKSMI
- 2003

In this paper, we obtain some sufficient conditions for an analytic function f (z), defined on the unit disk , to be starlike of order α.

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f −1 satisfying the conditions that zf ′ (z)/f (z) and zg ′ (z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are… (More)

Sharp bounds for ja pþ2 À la 2 pþ1 j and ja p+3 j are derived for certain p-valent analytic functions. These are applied to obtain Fekete-Szegö like inequalities for several classes of functions defined by convolution.

In this paper we give certain sufficient conditions for functions defined through the Dziok-Srivastava linear operator and the multiplier transformation .

In the present investigation, the authors derive necessary and sufficient conditions for spirallikeness and convex spirallikeness of a suitably normalized meromorphic p-valent function in the punctured unit disk, using convolution. Also we give an application of our result to obtain a convolution condition for a class of meromorphic functions defined by a… (More)