Priyanka Sangal

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20172019

most citedGeometric properties of Cesaro averaging operators

6 citations · 7 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.CV2019★ 1 cited

Geometric properties of Clausen's Hypergeometric Function $_{3} F_{2} (a, b, c; d, e; z)$

Koneri Chandrasekran, Devasir John Prabhakaran

The Clausen's Hypergeometric Function is given by $_{3} F_{2} (a, b, c; d, e; z) = n = 0 \sum \infty \frac{( a ) _{n} ( b ) _{n} ( c ) _{n}}{( d ) _{n} ( e ) _{n} ( 1 ) _{n}} z^{n}; a, b, c, d, e \in C$ provided $d,…

math.CV2019

Stable Functions of Janowski Type

Koneri Chandrasekran, Devasir John Prabhakaran, Priyanka Sangal

A function $f \in A_{1}$ is said to be stable with respect to $g \in A_{1}$ if \begin{align*} \frac{s_n(f(z))}{f(z)} \prec \frac{1}{g(z)}, \qquad z\in\mathbb{D}, \en…

math.CV2018

On a conjecture for trigonometric sums by S. Koumandos and S. Ruscheweyh

Priyanka Sangal, A. Swaminathan

S. Koumandos and S. Ruscheweyh posed the following conjecture: For $ρ \in (0, 1]$ and $0 < μ \leq μ^{*} (ρ)$ , the partial sum $s_{n}^{μ} (z) = k = 0 \sum n \frac{( μ ) _{k}}{k !} z^{k}$ , $…

math.CV2017★ 6 cited

Geometric properties of Cesaro averaging operators