Polynomials: Special Polynomials and Number-Theoretical Applications

• Andere auteurs: Pintér, Ákos (Redacteur)
• Formaat: Elektronisch Hoofdstuk
• Taal: Engels
• Gepubliceerd in: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Onderwerpen: 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
• Online toegang: DOAB: download the publication; DOAB: description of the publication

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...