On a subclass of meromorphic univalent functions

Bhowmik, Bappaditya; Parveen, Firdoshi

doi:10.1080/17476933.2016.1225203

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Cited by 9 publications

(15 citation statements)

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“…where D p = {z : |z| < p}. An important subclass of S(p) denoted by V p (λ) has recently been introduced in [6] (see also [5]). This class can be thought as the meromorphic analogue of the class U λ .…”

Section: Introductionmentioning

confidence: 99%

Loewner chain and quasiconformal extension of some classes of univalent functions

Bhowmik

Satpati

2019

Complex Variables and Elliptic Equations

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Section: Introductionmentioning

confidence: 99%

Loewner chain and quasiconformal extension of some classes of univalent functions

Bhowmik

Satpati

2019

Complex Variables and Elliptic Equations

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“…In a recent paper [2], Bhowmik and Parveen introduced, for 0 < λ ≤ 1, a meromorphic analogue of the class U(λ), namely the class U p (λ) consisting of functions f in A(p) satisfying…”

Section: Introductionmentioning

confidence: 99%

A criterion for univalent meromorphic functions

2019

Filomat

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Let D = {z ∈ C, |z| < 1} and A(p) be the set of meromorphic functions in D possessing only simple pole at the point p with p ∈ (0 , 1). The aim of this paper is to give a criterion by mean of conditions on the parameters α, β ∈ C, λ > 0 and ∈ A(p) for functions in the class denoted P α,β ;h (p ; λ) of functions f ∈ A(p) satisfying a differential Inequality of the form α z f (z) + β z (z) ≤ λµ, z ∈ D to be univalent in the disc D, where µ = (1−p 1+p) 2 .

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“…Motivated by this sufficient condition stated in the above theorem, in [2] we considered the following subclass of Σ(p).…”

Section: Introductionmentioning

confidence: 99%