On Some Improved Bounds of the Polar Derivative of Polynomials| Chapter 3 | Research Highlights in Mathematics and Computer Science Vol. 5

 Author(s) Details:

Barchand Chanam,
Department of Mathematics, National Institute of Technology Manipur, Imphal- 795004, India.

Please see the link here: https://stm.bookpi.org/RHMCS-V5/article/view/9378

Improved Version of an Inequality for the Derivative of a Polynomial| Chapter 2 | Research Highlights in Mathematics and Computer Science Vol. 5

 Author(s) Details:

Barchand Chanam,
Department of Mathematics, National Institute of Technology Manipur-795004, India.

Please see the link here: https://stm.bookpi.org/RHMCS-V5/article/view/9377

Inequalities Concerning Maximum Modulus of Higher Order Derivative of Complex Polynomials | Chapter 4 | New Trends in Physical Science Research Vol. 6

 Let P(z) be an n-degree complex polynomial. Numerous people have been drawn to the best approximation issue involving the derivative p'(z) with various limits on the zeros, including well-known mathematicians and physicists as Mandeleev, the Markov brothers, and Bernstein. Numerous mathematicians have researched their works in-depth, which has led to a large collection of inequalities using complex polynomials. We cover a list of inequalities affecting the maximum modulus of higher order derivatives of complex polynomials in this article.

Author(s) Details:

Kshetrimayum Krishnadas,
Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, India.

Chanam Barchand Singh,
Department of Mathematics, National Institute of Technology Manipur, Imphal, India.

Please see the link here: https://stm.bookpi.org/NTPSR-V6/article/view/7210

Extension of Ordinary Inequalities of Polynomial to Polar Derivative | Chapter 7 | Recent Studies in Mathematics and Computer Science Vol. 4

 Let p(z) be a polynomial of degree n and for a complex number α, let Dαp(z) = np(z)+(α-z)p′(z)

denote the polar derivative of the polynomial p(z) with respect to α.It is of interest to extend
ordinary inequality of polynomial into polar derivatives as the later versions have mathematical
aspects.

Author(s) Details

Dr. Barchand Chanam
Department of Mathematics, National Institute of Technology, Manipur, Imphal - 795004, India.

View Book :- http://bp.bookpi.org/index.php/bpi/catalog/book/234