Saurabh Porwal

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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)
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)
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)
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 − |b 1 |) 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(More)
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)
The purpose of the present paper is to study a new subclass of harmonic univalent functions associated with fractional calculus operator. We obtain coefficient conditions, distortion bounds and extreme points for this class and discuss a class preserving integral operator. We also show that the class studied in this paper is closed under convolution and(More)