Results 41 to 50 of about 1,233 (186)
Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj +1 more source
Representations of degenerate Hermite polynomials
Advances in Applied Mathematics, 2022 14 ...
Taekyun Kim 0001 +4 more
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
Series with Hermite polynomials and applications [PDF]
Publicationes Mathematicae Debrecen, 2012 arXiv admin note: substantial text overlap with arXiv:1006 ...
Boyadzhiev, Khristo N., Dil, Ayhan
openaire +2 more sources
SNR‐Efficient Inhomogeneous Magnetization Transfer (ihMT) for Clinical Applications at 7 T
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Inhomogeneous MT (ihMT) is an MRI modality sensitive to Myelin, the lipid‐rich membrane surrounding the axons. A novel ihMT saturation strategy and its associated B1+$$ {\mathrm{B}}_1^{+} $$ correction at UHF are proposed. The aim is to generate a strong ihMT effect within a clinically compatible scan time while complying with SAR ...
Timothy Anderson +8 more
wiley +1 more source
On the hermite matrix of a polynomial
Linear Algebra and its Applications, 1971 AbstractWe investigate the location of the eigenvalues of the Hermite matrix of a given complex polynomial, the question under what conditions a given polynomial and the characteristic polynomial of its Hermite matrix are identical, and the question under what conditions the Hermite matrix has only one distinct eigenvalue.
openaire +1 more source
Poly‐Ether‐Ether‐Ketone Melt Behavior in Fused Deposit Modeling Printing Moves
Polymer Engineering &Science, EarlyView.A thin solidified layer forms at the print bed during FDM of PEEK, reducing the effective shear height and raising the effective shear rate above the nominal value. Surface defects emerge once the effective shear rate exceeds a critical value of approximately 750 s−1.
Paul Sager +4 more
wiley +1 more source
Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
doaj +1 more source
Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials
Journal of Applied Mathematics, 2013 Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
doaj +1 more source
DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
doaj +1 more source