Results 131 to 140 of about 653 (205)

Bidiagonal Factorizations of Filbert and Lilbert Matrices

open access: yesAxioms
Extensions of Filbert and Lilbert matrices are addressed in this work. They are reciprocal Hankel matrices based on Fibonacci and Lucas numbers, respectively, and both are related to Hilbert matrices.
Yasmina Khiar   +4 more
doaj   +1 more source

Analytical continuation of two-dimensional wave fields. [PDF]

open access: yesProc Math Phys Eng Sci, 2021
Assier RC, Shanin AV.
europepmc   +1 more source

Hankel and Toeplitz Determinants for q-Analog Functions Defined by Linear Multiplier q-Differintegral Operator

open access: yesMathematics
In this paper, we define new subclasses Cq(t,λ,δ,n) and Kq(η,t,λ,δ,n) of analytic functions by using a Linear Multiplier q-differintegral operator with a generalized binomial series. In particular, we find the Hankel, Toeplitz determinant boundary values
Ningegowda Ravikumar   +4 more
doaj   +1 more source

Double scaling limits of Toeplitz, Hankel and Fredholm determinants [PDF]

open access: yes, 2017
Toeplitz, Hankel and Fredholm determinants occur naturally in the study of the eigenvalues of the Circular Unitary Ensemble and the Gaussian Unitary Ensemble (GUE) of random matrices, as partition functions and gap probabilities.
Fahs, Benjamin
core  

Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function

open access: yesJournal of Mathematics
For −1≤λ≤1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, 1+τf″τ/f′τ≺1/1−λτ.
Arooj Fatima   +3 more
doaj   +1 more source

A combinatorial proof of the non-vanishing of Hankel determinants of the Thue–Morse sequence [PDF]

open access: yes, 2014
International audienceIn 1998, Allouche,Peyrì ere, Wen and Wen established that the Hankel determinants associated with the Thue–Morse sequence on {−1, 1} are always nonzero. Their proof depends on a set of sixteen recurrence relations.
Yann Bugeaud   +3 more
core  

Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers

open access: yes
Fix $n$ a positive integer. Take the $n$-th metallic number $ϕ_n=\frac{n+\sqrt{n^2+4}}{2}$ (e.g. $ϕ_1$ is the golden number) and let $Φ_n(q)$ be its $q$-deformation in the sense of S. Morier-Genoud and V. Ovsienko. This is an algebraic continued fraction which admits an expansion into a Taylor series around $q=0$, with integral coefficients.
Han, Guo-Niu, Pedon, Emmanuel
openaire   +2 more sources

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