Results 71 to 80 of about 121 (87)

Hermitian–Toeplitz and Hankel determinants for certain starlike functions

Asian-European Journal of Mathematics, 2021
The sharp lower and upper estimates on the second- and third-order Hermitian–Toeplitz determinants for the classes of starlike functions associated with the modified sigmoid function and a related function, whose Taylor coefficients are the Bell numbers, are investigated.
Nak Eun Cho, Sushil Kumar, Virendra Kumar   +2 more
openaire   +2 more sources

ASYMPTOTIC BEHAVIOR OF SOME HANKEL-TOEPLITZ DETERMINANTS

Reviews in Mathematical Physics, 1992
Motivated by the recent increase in interest in Toeplitz determinants of large order, whose elements are moments with respect to measures, by their connection with the theory of quantum gravity we have given exact values of the determinants for several large classes of measures.
Baker, George A. jun., Bessis, Daniel, Moussa, Pierre   +2 more
openaire   +2 more sources

Fourth Hankel and Toeplitz determinants for a subclass of analytic functions subordinate to 1+sin(z)

Mathematica Applicanda, 2023
Summary: The purpose of the present paper is to determine the coefficient bounds, 4\textsuperscript{th} Hankel determinants, Toeplitz determinants for the function \(f\) in a subclass of analytic functions subordinate to \(1+\sin(z)\). We also study the Fekete-Szegö inequality and Zalcman conjecture for functions in this class.
Koride, Ganesh, Rayaprolu, Bharavi Sharma, Saroja, K., Yakaiah, Koneti   +3 more
openaire   +1 more source

Hankel and symmetric Toeplitz determinants for Sakaguchi starlike functions

Studia Universitatis Babes-Bolyai Matematica
Abstract. In this paper, we consider the class of starlike functions with respect to symmetric points which are also known as Sakaguchi starlike functions. We de- termine best possible bounds on Zalcman conjecture |a_n^2 – a_(2n-1) | and generalized Zalcman conjecture |aman − am+n−1| for n = 2 and n = 4, m = 2, respectively for such functions. Further,
Sushil Kumar, Swati Anand, Naveen Kumar Jain   +2 more
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The Determinants of Toeplitz and Hankel Random Matrices

1990
In this chapter, the perturbation and orthogonalization methods are applied to the analysis of determinant distribution of Toeplitz and Hankel matrices. Besides, limit theorems of the law of large numbers and the central limit theorem type are proved: the general form of limiting distributions for determinants of random Toeplitz and Hankel matrices has
openaire   +1 more source

Asymptotic Formulas for the Determinants of Symmetric Toeplitz plus Hankel Matrices

2002
We establish asymptotic formulas for the determinants of N × N Toeplitz plus Hankel matrices TN(o)+HN (o) as N goes to infinity for singular generating functions o defined on the unit circle in the special case where o is even, i.e., where the Toeplitz plus Hankel matrices are symmetric.
Estelle L. Basor, Torsten Ehrhardt
openaire   +1 more source

Fourth Hankel and Toeplitz determinants for bounded turning functions subordinate to $1+tanhz$

Advanced Studies: Euro-Tbilisi Mathematical Journal, 2023
Yakaiah, K., Bharavi Sharma, R., Ganesh, K., Saroja, K.   +3 more
openaire   +2 more sources

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Fractal and Fractional, 2022
Mohammad Faisal Khan, Shahid Khan, Nazar Khan   +2 more
exaly  

Fourth Hankel and Toeplitz Determinants for Reciprocal of Bounded Turning Functions and Inverse of Reciprocal of Bounded Turning Functions Subordinate to cos \(z\)

Communications in Mathematics and Applications, 2023
K. Yakaiah, R. Bharavi Sharma, V. Suman Kumar, S. Sambasivarao   +3 more
openaire   +1 more source

Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain

Mathematics, 2019
Qazi Zahoor Ahmad, Hari M Srivastava, Nazar Khan   +2 more
exaly