Results 101 to 110 of about 7,436 (197)
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
Symmetry, Integrability and Geometry: Methods and Applications, 2013 The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain.
Kazuki Maeda, Satoshi Tsujimoto
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On Hankel Determinant Inequalities
International Journal For Multidisciplinary ResearchThis article aims to obtain the second Hankel determinant inequalities for the inverse of the well-known classes of univalent functions, namely, starlike and convex functions.
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Determinants of Random Block Hankel Matrices
, 2017 We consider the moment space $\mathcal{M}^{p}_{2n+1}$ of moments up to the order $2n + 1$ of $p_n\times p_n$ real matrix measures defined on the interval $[0,1]$. The asymptotic properties of the Hankel determinant $\{\log\det (M_{i+j}^{p_n})_{i,j=0,\ldots,\lfloor nt\rfloor}\}_{t\in [0,1]}$ of a uniformly distributed vector $(M_1,\dots ,M_{2n+1})^t\sim\
Dette, Holger, Tomecki, Dominik
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Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli
International Journal of Analysis and Applications, 2014 The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class R of analytic functions in the unit disk.
Ashok Kumar Sahoo, Jagannath Patel
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Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes
AxiomsThis paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi +2 more
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AxiomsThe study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas +3 more
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On H3 (1) Hankel determinant for certain subclass of analytic functions
Extracta Mathematicae, 2020 The objective of this paper is to obtain an upper bound to Hankel determinant of third order for any function f, when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane.
D. Vamshee Krishna, D. Shalini
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On a Subclass of Analytic Functions Related to a Hyperbola
International Journal of Mathematics and Mathematical Sciences, 2014 The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk.
Jagannath Patel, Ashok Kumar Sahoo
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Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type. [PDF]
Bull Lond Math Soc, 2022 Eckhardt J.
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