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- Saeid Shams, Smita R. Kulkarni, Jay M. Jahangiri
- Int. J. Math. Mathematical Sciences
- 2004

Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated. 1. Introduction. Let A denote the class of functions of the form f (z) = z+ ∞ n=2 a n z

- Om P. Ahuja, Jay M. Jahangiri, Herb Silverman
- Appl. Math. Lett.
- 2003

Ruscheweyh'and She&Small proved the P6lya-Schoenberg conjecture that the class of convex analytic functions is closed under convolution or Hadamard product. They also showed that clos&o-convexity is preserved under convolution with convex analytic functions. In this note, we investigate harmonic analogs. Beginning with convex analytic functions, we form… (More)

A class of univalent functions is defined by making use of the Ruscheweyh derivatives. This class provides an interesting transition from starlike functions to convex functions. In special cases it has close interrelations with uniformly starlike and uniformly convex functions. We study the effects of certain integral transforms and convolutions on the… (More)

- Saeid Shams, Smita R. Kulkarni, Jay M. Jahangiri
- Int. J. Math. Mathematical Sciences
- 2006

By applying certain integral operators to p-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.

- Om P. Ahuja, Jay M. Jahangiri
- Appl. Math. Lett.
- 2005

Inequalities involving multipliers using the sequences {c n } and {d n } of positive real numbers are introduced for complex-valued harmonic univalent functions. By specializing {c n } and {d n }, we determine representation theorems, distortion bounds, convolutions, convex combinations, and neighbourhoods for such functions. The theorems presented, in many… (More)

- Jay M. Jahangiri, Kambiz Farahmand
- Int. J. Math. Mathematical Sciences
- 2004

Contents

- Reza Kiani Mavi, Sajad Kazemi, Jay M. Jahangiri
- J. Applied Mathematics
- 2013

For functions p analytic in the open unit disc U = {z : |z| < 1} with the normaliza-tion p(0) = 1, we consider the families ᏼ[A, −1], −1 < A ≤ 1, consisting of p such that p(z) is subordinate to (1+Az)/(1−z) in U and ᏼ(1,b), b > 0, consisting of p, which have the disc formulation |p −1| < b in U. We then introduce subordination criteria for the choice of… (More)

- Jay M. Jahangiri, Samaneh G. Hamidi
- Int. J. Math. Mathematical Sciences
- 2013

In this paper we introduce some new subclasses of the class σ of bi-univalent functions and obtain bounds for the initial coefficients of the Taylor series expansion of functions from the considered classes.