Nuttapong Arunrat

most citedBounds of the Derivative of Some Classes of Rational Functions

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math.CV2020★ 2 cited

Bounds of the Derivative of Some Classes of Rational Functions

Nuttapong Arunrat, Keaitsuda Maneeruk Nakprasit

Let $r (z)$ be a rational function with at most $n$ poles, $a_{1}, a_{2}, \dots, a_{n},$ where $∣ a_{j} ∣ > 1,$ $1 \leq j \leq n .$ This paper investigates the estimate of the modulus of the de…

math.CV2018

Some Inequalities for the Polar Derivative of Some Classes of Polynomials

Nuttapong Arunrat, Keaitsuda Maneeruk Nakprasit

In this paper, we investigate an upper bound of the polar derivative of a polynomial of degree $n$ $$p(z)=(z-z_m)^{t_m} (z-z_{m-1})^{t_{m-1}}\cdots (z-z_0)^{t_0}(a_0+\sum\limits_{ν…