TY - BOOK ID - 146222153 TI - Polynomials: Special Polynomials and Number-Theoretical Applications PY - 2021 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - Research & information: general KW - Mathematics & science KW - Shivley’s matrix polynomials KW - Generating matrix functions KW - Matrix recurrence relations KW - summation formula KW - Operational representations KW - Euler polynomials KW - higher degree equations KW - degenerate Euler numbers and polynomials KW - degenerate q-Euler numbers and polynomials KW - degenerate Carlitz-type (p, q)-Euler numbers and polynomials KW - 2D q-Appell polynomials KW - twice-iterated 2D q-Appell polynomials KW - determinant expressions KW - recurrence relations KW - 2D q-Bernoulli polynomials KW - 2D q-Euler polynomials KW - 2D q-Genocchi polynomials KW - Apostol type Bernoulli KW - Euler and Genocchi polynomials KW - Euler numbers and polynomials KW - Carlitz-type degenerate (p,q)-Euler numbers and polynomials KW - Carlitz-type higher-order degenerate (p,q)-Euler numbers and polynomials KW - symmetric identities KW - (p, q)-cosine Bernoulli polynomials KW - (p, q)-sine Bernoulli polynomials KW - (p, q)-numbers KW - (p, q)-trigonometric functions KW - Bernstein operators KW - rate of approximation KW - Voronovskaja type asymptotic formula KW - q-cosine Euler polynomials KW - q-sine Euler polynomials KW - q-trigonometric function KW - q-exponential function KW - multiquadric KW - radial basis function KW - radial polynomials KW - the shape parameter KW - meshless KW - Kansa method KW - Shivley’s matrix polynomials KW - Generating matrix functions KW - Matrix recurrence relations KW - summation formula KW - Operational representations KW - Euler polynomials KW - higher degree equations KW - degenerate Euler numbers and polynomials KW - degenerate q-Euler numbers and polynomials KW - degenerate Carlitz-type (p, q)-Euler numbers and polynomials KW - 2D q-Appell polynomials KW - twice-iterated 2D q-Appell polynomials KW - determinant expressions KW - recurrence relations KW - 2D q-Bernoulli polynomials KW - 2D q-Euler polynomials KW - 2D q-Genocchi polynomials KW - Apostol type Bernoulli KW - Euler and Genocchi polynomials KW - Euler numbers and polynomials KW - Carlitz-type degenerate (p,q)-Euler numbers and polynomials KW - Carlitz-type higher-order degenerate (p,q)-Euler numbers and polynomials KW - symmetric identities KW - (p, q)-cosine Bernoulli polynomials KW - (p, q)-sine Bernoulli polynomials KW - (p, q)-numbers KW - (p, q)-trigonometric functions KW - Bernstein operators KW - rate of approximation KW - Voronovskaja type asymptotic formula KW - q-cosine Euler polynomials KW - q-sine Euler polynomials KW - q-trigonometric function KW - q-exponential function KW - multiquadric KW - radial basis function KW - radial polynomials KW - the shape parameter KW - meshless KW - Kansa method UR - https://www.unicat.be/uniCat?func=search&query=sysid:146222153 AB - 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 ER -