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Polynomials: Special Polynomials and Number-Theoretical Applications

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: Be...

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Bibliographic Details
Main Author: Pintér, Ákos
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Summation Formula
Bernstein Operators
Euler Polynomials
Mathematics & Science / Bicssc
Q-trigonometric Function
2d Q-bernoulli Polynomials
Symmetric Identities
Higher Degree Equations
Q-exponential Function
Q-sine Euler Polynomials
Radial Basis Function
(p, Q)-numbers
Meshless
Operational Representations
2d Q-euler Polynomials
Carlitz-type Higher-order Degenerate (p,q)-euler Numbers And Polynomials
Determinant Expressions
Rate Of Approximation
Degenerate Q-euler Numbers And Polynomials
Matrix Recurrence Relations
Recurrence Relations
Voronovskaja Type Asymptotic Formula
Research & Information: General / Bicssc
(p, Q)-cosine Bernoulli Polynomials
Radial Polynomials
Shivley's Matrix Polynomials
(p, Q)-trigonometric Functions
Euler And Genocchi Polynomials
Apostol Type Bernoulli
(p, Q)-sine Bernoulli Polynomials
2d Q-genocchi Polynomials
Q-cosine Euler Polynomials
Twice-iterated 2d Q-appell Polynomials
Generating Matrix Functions
Degenerate Euler Numbers And Polynomials
The Shape Parameter
Degenerate Carlitz-type (p, Q)-euler Numbers And Polynomials
Carlitz-type Degenerate (p,q)-euler Numbers And Polynomials
Euler Numbers And Polynomials
2d Q-appell Polynomials
Kansa Method
Multiquadric
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
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
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (154 p.)
ISBN:books978-3-0365-0819-1
9783036508191
9783036508184

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