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 Applications3023603UNINA03685nam 2200817z- 450 9910674007403321202102113-03921-951-0(CKB)4100000011302321(oapen)https://directory.doabooks.org/handle/20.500.12854/53451(oapen)doab53451(EXLCZ)99410000001130232120202102d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMicrowave Imaging and Electromagnetic Inverse Scattering ProblemsMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (170 p.)3-03921-950-2 Microwave imaging techniques allow for the development of systems that are able to inspect, identify, and characterize in a noninvasive fashion under different scenarios, ranging from biomedical to subsurface diagnostics as well as from surveillance and security applications to nondestructive evaluation. Such great opportunities, though, are actually severely limited by difficulties arising from the solution of the underlying inverse scattering problem. As a result, ongoing research efforts in this area are devoted to developing inversion strategies and experimental apparatus so that they are as reliable and accurate as possible with respect to reconstruction capabilities and resolution performance, respectively. The intent of this Special Issue is to present the experiences of leading scientists in the electromagnetic inverse scattering community, as well as to serve as an assessment tool for people who are new to the area of microwave imaging and electromagnetic inverse scattering problems.History of engineering and technologybicssc3D5G communicationadjoint inversion methodsantenna arrayantenna testingarray diagnosisBayesian compressive sensing (BCS)breast cancerbreast imagingcompressed sensingcontraction integral equation for inversion (CIE-I)contrast source inversion (CSI)contrast-source inversiondiscontinuous Galerkin method (DGM)electrical-property tomographyelectromagnetic inverse scatteringelectromagnetic inverse scattering problemsfinite-difference methodsimage-based approachimaginginverse obstacles probleminverse problemsinverse scatteringinverse source problemjoint sparsityKolmogorov-Smirnov (K-S) testlinear sampling methodmagnetic resonance imagingmicrowave imagingmicrowave imaging profilometrymicrowave plasma diagnosticsnear-field measurementsnonlinear optimizationnonlinear problemorthogonality sampling methodradar-based breast imagingrank minimizationRCS estimationstopping criteriatomographyHistory of engineering and technologyDi Donato Loretoauth1338907Morabito AndreaauthBOOK9910674007403321Microwave Imaging and Electromagnetic Inverse Scattering Problems3059171UNINA