Results 11 to 20 of about 242 (173)
Selberg integrals and Hankel determinants [PDF]
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]
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]
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]
10 ...
Basor, Estelle, Chen, Yang
openaire +2 more sources
Hankel continued fractions and Hankel determinants of the Euler numbers [PDF]
The Euler numbers occur in the Taylor expansion of tan (
openaire +2 more sources
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
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]
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]
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]
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

