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This volume provides a broad overview of recent developments in polynomials and their applications. The book includes eight chapters that address such topics as characteristic functions of polynomials, permutations, Gon?arov polynomials, irreducible factors, polynomial regression algorithms, and the use of polynomials in fractional calculus, and much more.
Characteristic Polynomials
Some Proposed Problems on Permutation Polynomials over Finite Fields
Effectiveness of Basic Sets of Goncarov and Related Polynomials
Irreducible Polynomials: Non-Binary Fields
On the Use of Homogeneous Polynomial Yield Functions in Sheet Metal Forming Analysis
On the Irreducible Factors of a Polynomial and Applications to Extensions of Absolute Values
The Efficiency of Polynomial Regression Algorithms and Pearson Correlation (r) in Visualizing and Forecasting Weather Change Scenarios
Using Shifted Jacobi Polynomials to Handle Boundary Value Problems of Fractional Order