Open access peer-reviewed Edited Volume

Recent Advances in Polynomials

Kamal Shah

University of Malakand

Before his current position at the University of Malakand, Dr. Shah has worked at the Government Degree College in Mingora, Swat, and Government Degree College in Kabal, Swat. He has published more than 230 articles related to the qualitative theory of fractional differential equations, numerical solutions, and stability analysis in world-reputed journals.


Polynomial Computation Differential Equation Polynomial Interpolation Numerical Solution Fractional Differential Equation Spectral Analysis Operational Matrix Polynomial Approximation Orthogonality Lagrange Interpolation Newton Interpolation

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About the book

This book aims to include a detailed analysis, visualization and applications of polynomials. Polynomials are the powerful tool in pure as well as applied analysis. They are increasingly used for interpolation, extrapolation and approximations of various problems. Further, huge analysis can be performed by using various polynomials in spectral theory, where different methods are developed to compute numerical solutions to linear as well as nonlinear problems of differential and integral equations. By utilizing polynomials interpolation, we can easily investigate missing arguments in data. Recently the area of fractional calculus can be excellently approximated via using various polynomials. Researchers have used these polynomials in performing operational research. For instance, the orthogonal polynomials are used to derive some operational matrices which easily convert a differential equations to an easily solvable algebraic equations of Lyapunov or Sylvester type problem.

Publishing process

Book initiated and editor appointed

Date completed: April 7th 2021

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline for chapter proposals: May 5th 2021

Potential authors submit chapter proposals ready for review by the academic editor and our publishing review team.

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Approved chapters written in full and submitted

Deadline for full chapters: July 4th 2021

Once approved by the academic editor and publishing review team, chapters are written and submitted according to pre-agreed parameters

Full chapters peer reviewed

Review results due: September 22nd 2021

Full chapter manuscripts are screened for plagiarism and undergo a Main Editor Peer Review. Results are sent to authors within 30 days of submission, with suggestions for rounds of revisions.

Book compiled, published and promoted

Expected publication date: November 21st 2021

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About the editor

Kamal Shah

University of Malakand

Dr. Kamal Shah is an associate professor in the Department of Mathematics, University of Malakand, Chakdara Dir (L), Khyber Pakhtan Khawa, Pakistan. He obtained an MSc from Government Post Graduate Jehanzeb College Swat in 2005. He joined the University of Malakand as a lecturer in 2007. Dr. Shah obtained a Ph.D. in Fractional Calculus in 2016 from the University of Malakand. He has published numerous articles in scientific journals and has supervised many MPhil and Ph.D. students.

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Book chapters authored 3

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