Results 71 to 80 of about 242 (173)
A Study on the k-Mersenne and k-Mersenne-Lucas Sequences
Universal Journal of Mathematics and ApplicationsIn this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal +3 more
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Residual Water Suppression in MRS Using HLSVD With Automatic Component Selection Strategy
NMR in Biomedicine, Volume 39, Issue 7, July 2026.Residual water signals in magnetic resonance spectroscopy distort baselines and hinder metabolite quantification. We propose an automatic residual water removal method using HLSVD with the metric, termed as residual water to metabolite variance ratio (RWVR), to guide component selection.
Yi‐Ru Lin +2 more
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An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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Bounds of Hankel Determinant for a Class of Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2012 Summary: We study coefficient conditions for the class \(\mathfrak H_\alpha\) defined as the set of all analytic functions \(f\) with \(f(0) = 0\) and \(f'(0) = 1\) which satisfy \[ \mathrm{Re}\left\{(1 - \alpha)f'(z) + \alpha\left(1 +\frac{zf''(z)}{f'(z)}\right)\right\} > \alpha \] for all \(z\) in the open unit disk, where \(\alpha\) is a real number.
Sarika Verma +2 more
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MathematicsIn this paper, we introduce and study the Tricomi continuants, a family of tridiagonal determinants forming a Sheffer sequence closely related to the Tricomi polynomials and the Laguerre polynomials.
Emanuele Munarini
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Nanophotonics, Volume 15, Issue 9, 13 May 2026.An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev +5 more
wiley +1 more source
Rational Approximation to the Solutions of Two-Point Boundary Value Problems
Acta Polytechnica, 2011 We propose a method for the treatment of two-point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel determinants that converge rapidly towards the unknown parameter of the ...
P. Amore, F. M. Fernández
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Proof of the Somos-4 Hankel determinants conjecture
Advances in Applied Mathematics, 2009 3 ...
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An upper bound to the second Hankel determinant for pre-starlike functions of order α
Le Matematiche, 2015 The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
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Journal of MathematicsIn this article, we have studied the class Ccos of normalized analytic functions f satisfying 1+zf″z/f′z≺cosz. We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos.
Umar Raza, Mohsan Raza, Afis Saliu
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