Reprint

Polynomials: Special Polynomials and Number-Theoretical Applications

Edited by
June 2021
154 pages
  • ISBN978-3-0365-0818-4 (Hardback)
  • ISBN978-3-0365-0819-1 (PDF)

This book is a reprint of the Special Issue Polynomials: Special Polynomials and Number-Theoretical Applications that was published in

Biology & Life Sciences
Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Bernoulli, Euler, Gegenbauer, trigonometric, and orthogonal polynomials and their generalizations. There are several approaches to these classical mathematical objects. This Special Issue presents nine high quality research papers by leading researchers in this field. I hope the reading of this work will be useful for the new generation of mathematicians and for experienced researchers as well

 

Format
  • Hardback
License and Copyright
© 2022 by the authors; CC BY-NC-ND license
Keywords
Shivley’s matrix polynomials; Generating matrix functions; Matrix recurrence relations; summation formula; Operational representations; Euler polynomials; higher degree equations; degenerate Euler numbers and polynomials; degenerate q-Euler numbers and polynomials; degenerate Carlitz-type (p, q)-Euler numbers and polynomials; 2D q-Appell polynomials; twice-iterated 2D q-Appell polynomials; determinant expressions; recurrence relations; 2D q-Bernoulli polynomials; 2D q-Euler polynomials; 2D q-Genocchi polynomials; Apostol type Bernoulli; Euler and Genocchi polynomials; Euler numbers and polynomials; degenerate Euler numbers and polynomials; Carlitz-type degenerate (p,q)-Euler numbers and polynomials; Carlitz-type higher-order degenerate (p,q)-Euler numbers and polynomials; symmetric identities; (p, q)-cosine Bernoulli polynomials; (p, q)-sine Bernoulli polynomials; (p, q)-numbers; (p, q)-trigonometric functions; Bernstein operators; rate of approximation; Voronovskaja type asymptotic formula; q-cosine Euler polynomials; q-sine Euler polynomials; q-trigonometric function; q-exponential function; multiquadric; radial basis function; radial polynomials; the shape parameter; meshless; Kansa method

Related Books

October 2020

Polynomials: Theory and Applications

Computer Science & Mathematics
March 2024

Polynomial Sequences and Their Applications

Computer Science & Mathematics
October 2019

Current Trends in Symmetric Polynomials with their Applications

Computer Science & Mathematics
March 2023

Special Functions with Applications to Mathematical Physics

Computer Science & Mathematics
February 2020

Numerical Analysis or Numerical Method in Symmetry

Computer Science & Mathematics