Results 101 to 110 of about 242 (173)

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

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

Toeplitz and Hankel Determinants for Certain Subclasses Associated with Sakaguchi Type Functions

open access: yesMathematical and Computational Applications
In this work, we establish bounds for Hermitian Toeplitz determinants of orders two and three for distinct subclasses of symmetric starlike functions associated with balloon-, limaçon-, and bean-shaped domains.
Mohammed Ali Alamri   +5 more
doaj   +1 more source

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 special class of Hankel determinants

open access: yes, 2013
This is an enlarged version of the original paper which contains some new material.
openaire   +2 more sources

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   +3 more sources

Hankel Determinants for Convolution Powers of Narayana Polynomials

open access: yesThe Electronic Journal of Combinatorics
We prove and generalize a conjecture of Johann Cigler on the Hankel determinants of convolution powers of Narayana polynomials. Our method follows a "guess-and-prove" strategy, relying on established techniques involving Hankel continued fractions. While the final forms of our theorems are given by simple closed expressions, the proofs require us to ...
openaire   +2 more sources

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