Results 11 to 20 of about 242 (173)

Selberg integrals and Hankel determinants [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
In our previous works "Pfaffian decomposition and a Pfaffian analogue of $q$-Catalan Hankel determinants'' (by M.Ishikawa, H. Tagawa and J. Zeng, J. Combin. Theory Ser.
Masao Ishikawa, Jiang Zeng
doaj   +3 more sources

On the Hankel determinants of close-to-convex univalent functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
doaj   +3 more sources

On Determinant Expansions for Hankel Operators [PDF]

open access: yesConcrete Operators, 2020
Abstract Let w be a semiclassical weight that is generic in Magnus’s sense, and (
Blower, Gordon, Chen, Yang
openaire   +5 more sources

Perturbed Hankel determinants [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2005
10 ...
Basor, Estelle, Chen, Yang
openaire   +2 more sources

Hankel continued fractions and Hankel determinants of the Euler numbers [PDF]

open access: yesTransactions of the American Mathematical Society, 2020
The Euler numbers occur in the Taylor expansion of tan ⁡ (
openaire   +2 more sources

Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions

open access: yesJournal of Mathematics, 2022
This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function.
Farah Zulfiqar   +3 more
doaj   +1 more source

HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS

open access: yesUral Mathematical Journal, 2022
In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized ...
D. Vamshee Krishna, D. Shalini
doaj   +1 more source

An Interesting Class of Hankel Determinants [PDF]

open access: yes, 2020
For small $r$ the Hankel determinants $d_r(n)$ of the sequence $\left({2n+r\choose n}\right)_{n\ge 0}$ are easy to guess and show an interesting modular pattern. For arbitrary $r$ and $n$ no closed formulae are known, but for each positive integer $r$ the special values $d_r(rn)$, $d_r(rn+1)$, and $d_r(rn+\lfloor\frac{r+1}{2}\rfloor)$ have nice values ...
Cigler, Johann, Tyson, Mike
openaire   +2 more sources

Hankel Determinants of Zeta Values [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2015
We study the asymptotics of Hankel determinants constructed using the values $ζ(an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Haynes, Alan, Zudilin, Wadim
openaire   +6 more sources

Almost Product Evaluation of Hankel Determinants [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2008
An extensive literature exists describing various techniques for the evaluation of Hankel determinants. The prevailing methods such as Dodgson condensation, continued fraction expansion, LU decomposition, all produce product formulas when they are applicable.
Ömer Egecioglu   +2 more
openaire   +4 more sources

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