Results 21 to 30 of about 259,092 (193)

Toeplitz determinants from compatibility conditions [PDF]

open access: yesThe Ramanujan Journal, 2008
16 ...
Basor, Estelle L., Chen, Yang
openaire   +3 more sources

trichter/toeplitz: v0.3.2

open access: yes, 2021
Python wrapper for Fortran90 toeplitz package to solve a variety of Toeplitz and circulant linear ...
Tom Eulenfeld, jsosulski
core   +1 more source

On lacunary Toeplitz determinants [PDF]

open access: yesAsymptotic Analysis, 2014
By using Riemann–Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants det  N [c ℓ a −m b [f]]
openaire   +2 more sources

Estimation of coefficient bounds for a subclass of Sakaguchi kind functions mapped onto various domains

open access: yesConcrete Operators, 2023
In this article, we define a new subclass of analytic functions ℛ(t,δ){\mathcal{ {\mathcal R} }}\left(t,\delta ) in the open unit disk D{\mathbb{D}} associated with the petal-shaped domain.
Aarthy B., Keerthi B. Srutha
doaj   +1 more source

On the limit of block Toeplitz determinants [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
An asymptotic formula is derived for block Toeplitz determinants which generalizes Szeg6's well-known formula for ordinary Toeplitz determinants. The predecessor of this paper [5] was concerned, among other things, with the limiting behavior of the block Toeplitz determinants DN[.] = det TNh[01 where TN[s] = (sb.X), i, j= 0, *?, N.
openaire   +1 more source

Toeplitz Determinants and Szegö's Formula [PDF]

open access: yesJournal of the Australian Mathematical Society, 1969
AbstractIn this paper the Toeplitz determinant of order s ≧ 1 generated by the rational function , with , and , is evaluated exactly for all values of s ≧ m, as , where in with and , thus proving Szegö's formula for the function fm, n(z).By forming the rational approximation of the generating function the formula is then extended to enabling the ...
openaire   +2 more sources

Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function

open access: yesMathematics, 2019
Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying
Hai-Yan Zhang   +2 more
doaj   +1 more source

COEFFICIENT INEQUALITY FOR MULTIVALENT BOUNDED TURNING FUNCTIONS OF ORDER α

open access: yesПроблемы анализа, 2016
The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α
D. Vamshee Krishna, T. RamReddy
doaj   +1 more source

Emergence of a singularity for Toeplitz determinants and Painlevé V [PDF]

open access: yesDuke Mathematical Journal, 2011
We obtain asymptotic expansions for Toeplitz determinants corresponding to a family of symbols depending on a parameter $t$. For $t$ positive, the symbols are regular so that the determinants obey Szegő's strong limit theorem. If $t=0$, the symbol possesses a Fisher-Hartwig singularity.
Claeys, T, Its, A, Krasovsky, I
openaire   +4 more sources

Aspects of Toeplitz Determinants [PDF]

open access: yes, 2011
We review the asymptotic behavior of a class of Toeplitz (as well as related Hankel and Toeplitz + Hankel) determinants which arise in integrable models and other contexts. We discuss Szego, Fisher-Hartwig asymptotics, and how a transition between them is related to the Painleve V equation.
openaire   +3 more sources

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