Results 111 to 120 of about 8,275 (212)

Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions

open access: yesHeliyon
In the present article, we prove the sharp upper bounds for the second order Hankel determinants |H2(1)|,|H2(2)| and related functionals |a2a3−a4|, |a2a5−a3a4| for q-starlike functions.
Ihtesham Gul   +3 more
doaj  

Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions

open access: yesJournal of Mathematics
Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic ...
Dong Guo   +4 more
doaj   +1 more source

Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice

open access: yesSymmetry, 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
doaj   +1 more source

Asymptotic Formulas for Determinants of a Sum of Finite Toeplitz and Hankel Matrices [PDF]

open access: green, 2001
Estelle Basor, Torsten Ehrhardt
openalex   +1 more source

Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli

open access: yesInternational 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
doaj   +2 more sources

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