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37  Articles
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The objective of this paper is to obtain an upper bound to the second Hankel determinant  for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 = alpha = 1), using Toeplitz determinants.

In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators descibed in the Caputo sense and obtain coefficient estimates, extreme points, the radii of clos... see more

In this paper our aim is to find the radii of starlikeness and convexity of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic in... see more

The objective of this paper is to obtain best possible upper bound to the third Hankel determinant for the pre-starlike functions of order a (0 = a < 1), using Toeplitz determinants.

The objective of this paper is to obtain an upper bound to the second Hankel determinant  for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 = alpha = 1), using Toeplitz determinants.

In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators descibed in the Caputo sense and obtain coefficient estimates, extreme points, the radii of clos... see more

In this paper our aim is to find the radii of starlikeness and convexity of the normalized Wright functions for three different kind of normalization. The key tools in the proof of our main results are the Mittag-Leffler expansion for Wright function and ... see more

In this paper we obtain extensions of sufficient conditions for analytic functions f(z) in the open unit disk \mathcal{U} to be starlike and convex of complex order. Our results unify and extend some starlikeness and convexity conditions for analytic func... see more

The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, and convex combinations for a new class of harmonic univalent functions in the open unit disc \ associated with... see more

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