Results 61 to 70 of about 7,436 (197)
A determinant characterization of moment sequences with finitely many mass-points
To a sequence (s_n)_{n\ge 0} of real numbers we associate the sequence of Hankel matrices \mathcal H_n=(s_{i+j}),0\le i,j \le n. We prove that if the corresponding sequence of Hankel determinants D_n=\det\mathcal H_n satisfy D_n>0 for ...
Berg, Christian, Szwarc, Ryszard
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Recently a definition of Hankel determinants \(H^n_k\) with entries in a finite-dimensional real vector space was given in terms of designants and Clifford algebra. Sylvester's identity can still be used for computing these determinants recursively, but the aim of this paper is to present a more efficient method avoiding the use of the Clifford algebra
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A Decade of Airborne Electromagnetic Surveying Lake Menindee (Australia) Under Varying Water Levels
ABSTRACT Time domain airborne electromagnetic (AEM) surveying is a mature geophysical tool for imaging the Earth's shallow subsurface. It produces images of the electromagnetic conductivity structure of the earth, down to depths of a few hundred metres.
A. Ray +11 more
wiley +1 more source
Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel
Pishtiwan Othman Sabir +5 more
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Estimates for Analytic Functions Connected with Hankel Determinant
UDC 517.5 We give an upper bound of Hankel determinant of the first order for the classes of an analytic function. In addition, an evaluation with the Hankel determinant from below will be given for the second angular derivative of analytic function. For new inequalities, the results of Jack's lemma and Hankel determinant were used.
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Ultrafast pump‐probe spectroscopy of two evolutionarily divergent blue copper proteins reveals distinct low‐frequency ground‐state collective modes (38 cm−1 in SLAC, 29 cm−1 in azurin) generated via impulsive stimulated Raman scattering, potentially reflecting the differences in the rigidity of the surrounding protein scaffold beyond a conserved Cu ...
Luis Ignacio Domenianni, Patrycja Kielb
wiley +1 more source
Second Hankel determinant for a class of analytic functions defined by q-derivative operator
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
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Hankel determinants for some common lattice paths
For a single value of $\ell$, let $f(n,\ell)$ denote the number of lattice paths that use the steps $(1,1)$, $(1,-1)$, and $(\ell,0)$, that run from $(0,0)$ to $(n,0)$, and that never run below the horizontal axis. Equivalently, $f(n,\ell)$ satisfies the quadratic functional equation $F(x) = \sum_{n\ge 0}f(n,\ell) x^n = 1+x^{\ell}F(x)+x^2F(x)^2.$ Let ...
Sulanke, Robert A., Xin, Guoce
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Photonics of Topological Magnetic Textures
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri +6 more
wiley +1 more source
We investigate the scattering of a point particle from n non-overlapping, disconnected hard disks which are fixed in the two-dimensional plane and study the connection between the spectral properties of the quantum-mechanical scattering matrix and its ...
Henseler, Michael, Wirzba, Andreas
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