TY - GEN AU - Ryoo,Cheon-Seoung AU - Ryoo,Cheon-Seoung TI - Polynomials : Theory and Applications SN - books978-3-03943-315-5 PY - 2020/// CY - Basel, Switzerland PB - MDPI - Multidisciplinary Digital Publishing Institute KW - Research & information: general KW - bicssc KW - Mathematics & science KW - differential equations, heat equation KW - Hermite Kampé de Fériet polynomials KW - Hermite polynomials KW - generating functions KW - degenerate Bernstein polynomials KW - degenerate Bernstein operators KW - degenerate Euler polynomials KW - variational methods KW - fractional Choquard equation KW - ground state solution KW - vanishing potential KW - positively quadratically hyponormal KW - quadratically hyponormal KW - unilateral weighted shift KW - recursively generated KW - Fubini polynomials KW - Euler polynomials KW - Bernoulli polynomials KW - truncated exponential polynomials KW - Stirling numbers of the second kind KW - differential equations KW - Bell polynomials KW - r-Bell polynomials KW - (r, β)-Bell polynomials KW - zeros KW - Möbius function KW - divisor functions KW - Euler totient function KW - hydraulic resistance KW - pipe flow friction KW - Colebrook equation KW - Colebrook-White experiment KW - floating-point computations KW - approximations KW - Padé polynomials KW - symbolic regression KW - orthogonal polynomials KW - difference-differential operator KW - supersymmetry KW - Konhauser matrix polynomial KW - generating matrix function KW - integral representation KW - fractional integral KW - degenerate Fubini polynomials KW - Stirling numbers N1 - Open Access N2 - Polynomial and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on polynomial and its applications has been done in mathematics, applied mathematics, and sciences. This book is based on recent results in all areas related to polynomial and its applications. This book provides an overview of the current research in the field of polynomials and its applications. The following papers have been published in this volume: 'A Parametric Kind of the Degenerate Fubini Numbers and Polynomials'; 'On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals'; 'Fractional Supersymmetric Hermite Polynomials'; 'Rational Approximation for Solving an Implicitly Given Colebrook Flow Friction Equation'; 'Iterating the Sum of Möbius Divisor Function and Euler Totient Function'; 'Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations'; 'Truncated Fubini Polynomials'; 'On Positive Quadratic Hyponormality of a Unilateral Weighted Shift with Recursively Generated by Five Weights'; 'Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity'; 'Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials'; 'Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from Differential Equations and Location of Their Zeros.' UR - https://mdpi.com/books/pdfview/book/2965 UR - https://directory.doabooks.org/handle/20.500.12854/69193 ER -