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In this paper, we determine sharp lower bounds for Re f (z) * ψ(z) fn(z) * ψ(z) and Re fn(z) * ψ(z) f (z) * ψ(z). We extend the results of ([1] – [5]) and correct the conditions for the re

- Saurabh Porwal
- 2008

The class of univalent harmonic functions on the unit disc satisfying the condition ∞ k=2 (k m − αk n)(|a k | + |b k |) ≤ (1 − α)(1 − |b1|) is given. Sharp coefficient relations and distortion theorems are given for these functions. In this paper we find that many results of Özturk and Yalcin [5] are incorrect. Some of the results of this paper correct the… (More)

In wireless communication, using ad-hoc networking any user desiring to communicate with each other can form a temporary network, without any form of centralized administration. Each node participating in the network is mobile and can be connected dynamically in an arbitrary manner. All nodes of these networks behave as routers and take part in discovery… (More)

- SAURABH PORWAL
- 2013

The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, convex combinations and neighborhoods for a new class of harmonic univalent functions in the open unit disc. We also discuss a class preserving integral operator. Relevant connections of the results presented here… (More)

- Saurabh Porwal
- Int. J. Math. Mathematical Sciences
- 2012

The purpose of the present paper is to investigate some sufficient conditions for the convolution operator I(m)f(z) belonging to the classes k−UCV (α), k−S p (α), S * (λ) and C(λ).

- Saurabh Porwal, S. Porwal
- 2012

Making use of subordination authors obtain some interesting conditions for the expression D n+1 f (z)−(1−γ)D n f (z) z belongs to the class S(n, 1 − γ). Relevant connections of the results presented here with various known results are briefly indicated.

A recent result of Sibel Yalcin et al. [4] appeared in " Journal of Inequalities in Pure and Applied Mathematics " (2007) concerning the con-volution of two harmonic univalent functions in the class RS H (k, γ) is improved.

This paper devoted to the study of incomplete Mittag-Leffler function and some of its properties in terms of incomplete Wright function.

- SAURABH PORWAL, N. MAGESH, AMAR KHAN
- 2015

The purpose of the present paper is to investigate a new class of hyperge-ometric meromorphic functions Σ * P (A, B, k, δ, λ) with fixed second positive coefficients. The coefficient estimates, distortion bounds and convex combinations of functions for this class are determined. References [1] M.K. Aouf, On certain class of meromorphic univalent functions… (More)