Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions [PDF]
HeliyonIn the present article, we prove the sharp upper bounds for the second order Hankel determinants |H2(1)|,|H2(2)| and related functionals |a2a3−a4|, |a2a5−a3a4| for q-starlike functions.
Saqib Hussain, Ihtesham Gul Kiani
exaly +4 more sources
The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach [PDF]
Heliyon, 2022 In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established.
Milica Anđelić +2 more
doaj +2 more sources
On the constant coefficients of a certain recurrence relation: A simple proof [PDF]
Heliyon, 2021 In this note, we provide a short proof for the explicit formulas of the coefficients of a particular 3-term recurrence relation derived from a k-periodic recurrence.
Milica Anđelić, Carlos M. da Fonseca
doaj +2 more sources
Unification of the Nature’s Complexities via a Matrix Permanent—Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity [PDF]
Entropy, 2020 We reveal the analytic relations between a matrix permanent and major nature’s complexities manifested in critical phenomena, fractal structures and chaos, quantum information processes in many-body physics, number-theoretic complexity in ...
Vitaly Kocharovsky +2 more
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Fourth Toeplitz Determinants for Starlike Functions Defined by Using the Sine Function [PDF]
Journal of Function Spaces, 2021 In this article, we aim to study the upper bounds of the fourth Toeplitz determinant T42 for the function class Ss∗, which are connected with the sine function.
Hai-Yan Zhang, Huo Tang
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Zhang–Zhang Polynomials of Multiple Zigzag Chains Revisited: A Connection with the John–Sachs Theorem [PDF]
Molecules, 2021 Multiple zigzag chains Zm,n of length n and width m constitute an important class of regular graphene flakes of rectangular shape. The physical and chemical properties of these basic pericondensed benzenoids can be related to their various topological ...
Henryk A. Witek
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A Fredholm determinant formula for Toeplitz determinants [PDF]
Integral Equations and Operator Theory, 2000 We prove a formula expressing a general n by n Toeplitz determinant as a Fredholm determinant of an operator 1-K acting on l_2({n,n+1,...}), where the kernel K admits an integral representation in terms of the symbol of the original Toeplitz matrix.
Andrei Okounkov, Alexei Borodin
exaly +3 more sources
Determinant identities for toeplitz-hessenberg matrices with tribonacci entries [PDF]
Transactions on Combinatorics, 2020 In this paper, we evaluate determinants of some families of Toeplitz--Hessenberg matrices having tribonacci number entries. These determinant formulas may also be expressed equivalently as identities that involve sums of products of multinomial ...
Taras Goy, Mark Shattuck
doaj +1 more source
A note on the determinant of a Toeplitz-Hessenberg matrix
Special Matrices, 2013 Mircea Merca
exaly +2 more sources
Hankel, Toeplitz, and Hermitian-Toeplitz Determinants for Certain Close-to-convex Functions [PDF]
Mediterranean Journal of Mathematics, 2022 AbstractLet f be analytic in $$\mathbb {D}=\{z\in \mathbb {C}:|z|<1\}$$ D = { z ∈ C : | z | <
Vasudevarao Allu +2 more
openaire +2 more sources