Polynomials: Special Polynomials and Number-Theoretical Applications

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
Other Authors: Pintér, Ákos (Editor)
Format: Book Chapter
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Research & information: general
Mathematics & science
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
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
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