Results 61 to 70 of about 8,275 (212)
The Hankel Determinant of Exponential Polynomials [PDF]
The American Mathematical Monthly, 2000 (2000). The Hankel Determinant of Exponential Polynomials. The American Mathematical Monthly: Vol. 107, No. 6, pp. 557-560.
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Axioms, 2023 A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained.
Likai Liu, Jie Zhai, Jin-Lin Liu
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Spin‐Orbit Photonics with Potato Starch Lenses
Advanced Optical Materials, EarlyView.Native potato starch spherulites are introduced as volumetric optical elements that modulate both dynamic and geometric phases of light. These spherulites focus light and generate optical vortices via spin‐orbit interaction, functioning as polarization‐sensitive microlenses. Their unique radial anisotropy enables applications in vortex beam generation,
Petr Bouchal +4 more
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Sufficiency criteria for a class of convex functions connected with tangent function
AIMS MathematicsThe research here was motivated by a number of recent studies on Hankel inequalities and sharp bounds. In this article, we define a new subclass of holomorphic convex functions that are related to tangent functions.
Muhammad Ghaffar Khan +4 more
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
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Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift
Annalen der Physik, EarlyView.The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
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Hankel Determinants, Padé Approximations, and Irrationality Exponents [PDF]
International Mathematics Research Notices, 2015 International Mathematics Research Notices ...
Bugeaud, Yann +3 more
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Civil Engineering Design, EarlyView.Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer +13 more
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Hankel determinants and orthogonal polynomials
Expositiones Mathematicae, 2003 AbstractWe develop a general context for the computation of the determinant of a Hankel matrix Hn = (αi+j)0⩽i,j⩽n, assuming some suitable conditions for the exponential (or ordinary) generating function of the sequence (αn)n⩾0. Several well-known particular cases are thus derived in a unified way.
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Painlevé III′ and the Hankel determinant generated by a singularly perturbed Gaussian weight
Nuclear Physics B, 2018 In this paper, we study the Hankel determinant generated by a singularly perturbed Gaussian weightw(x,t)=e−x2−tx2,x∈(−∞,∞),t>0. By using the ladder operator approach associated with the orthogonal polynomials, we show that the logarithmic derivative of ...
Chao Min, Shulin Lyu, Yang Chen
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