Analytical continuation of two-dimensional wave fields. [PDF]
Assier RC, Shanin AV.
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Toeplitz and Hankel Determinants for Certain Subclasses Associated with Sakaguchi Type Functions
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
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Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function
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
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A special class of Hankel determinants
This is an enlarged version of the original paper which contains some new material.
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Central Oxidative Stress and Early Vocational Outcomes in First Episode Psychosis: A 7-Tesla Magnetic Resonance Spectroscopy Study of Glutathione. [PDF]
MacKinley M +4 more
europepmc +1 more source
Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers
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
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Large gap asymptotics for the generating function of the sine point process. [PDF]
Charlier C.
europepmc +1 more source
Toeplitz and Hankel determinants of logarithmic coefficients for <i>r</i>-valent <i>q</i>-starlike and <i>r</i>-valent <i>q</i>-convex functions. [PDF]
Sabir PO, Ali AA.
europepmc +1 more source
Predicting the Number of Bases to Attain Sufficient Coverage in High-Throughput Sequencing Experiments. [PDF]
Deng C +4 more
europepmc +1 more source
Hankel Determinants for Convolution Powers of Narayana Polynomials
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 ...
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