03695nam 2200853z- 450 991055760130332120220111(CKB)5400000000043664(oapen)https://directory.doabooks.org/handle/20.500.12854/76516(oapen)doab76516(EXLCZ)99540000000004366420202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierPolynomials: Special Polynomials and Number-Theoretical ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online resource (154 p.)3-0365-0818-X 3-0365-0819-8 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 wellPolynomialsMathematics & sciencebicsscResearch & information: generalbicssc(p, q)-cosine Bernoulli polynomials(p, q)-numbers(p, q)-sine Bernoulli polynomials(p, q)-trigonometric functions2D q-Appell polynomials2D q-Bernoulli polynomials2D q-Euler polynomials2D q-Genocchi polynomialsApostol type BernoulliBernstein operatorsCarlitz-type degenerate (p,q)-Euler numbers and polynomialsCarlitz-type higher-order degenerate (p,q)-Euler numbers and polynomialsdegenerate Carlitz-type (p, q)-Euler numbers and polynomialsdegenerate Euler numbers and polynomialsdegenerate q-Euler numbers and polynomialsdeterminant expressionsEuler and Genocchi polynomialsEuler numbers and polynomialsEuler polynomialsGenerating matrix functionshigher degree equationsKansa methodMatrix recurrence relationsmeshlessmultiquadricOperational representationsq-cosine Euler polynomialsq-exponential functionq-sine Euler polynomialsq-trigonometric functionradial basis functionradial polynomialsrate of approximationrecurrence relationsShivley's matrix polynomialssummation formulasymmetric identitiesthe shape parametertwice-iterated 2D q-Appell polynomialsVoronovskaja type asymptotic formulaMathematics & scienceResearch & information: generalPintér Ákosedt1295545Pintér ÁkosothBOOK9910557601303321Polynomials: Special Polynomials and Number-Theoretical Applications3023603UNINA