Results 71 to 80 of about 653 (205)
A q-analogue of Catalan Hankel determinants [PDF]
, 2009 17 pagesInternational audienceIn this paper we shall survey the various methods of evaluating Hankel determinants and as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers. Here we consider $\frac{(aq;q)_{n}}{(abq^{2};
Ishikawa, Masao +5 more
core
Hankel continued fraction and its applications [PDF]
, 2016 International audienceThe Hankel determinants of a given power series f can be evaluated by using the Jacobi continued fraction expansion of f. However the existence of the Jacobi continued fraction needs that all Hankel determinants of f are nonzero. We
Han, Guo-Niu
core +1 more source
AxiomsThe study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas +3 more
doaj +1 more source
Hankel Determinants of q-Stirling Numbers
The Electronic Journal of CombinatoricsIn this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that
Yue Cai, Ting Yang
openaire +2 more sources
Nanophotonics, Volume 15, Issue 13, 13 July 2026.Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis +4 more
wiley +1 more source
Photonic Doping of Epsilon‐Near‐Zero Bragg Microcavities
Nanophotonics, Volume 15, Issue 13, 13 July 2026.Photonic doping of an epsilon‐near‐zero (ENZ) Bragg microcavity at optical frequencies induces strong magnetic responses from dielectric inclusions, enabling intense field localization, Purcell enhancement, and tunable hybrid Bragg–Mie modes. The platform supports perfect magnetic conductor and epsilon‐and‐mu‐near‐zero regimes, offering opportunities ...
Ali Panahpour +2 more
wiley +1 more source
Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function [PDF]
Sahand Communications in Mathematical AnalysisHermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists
Sangarambadi Padmanabhan Vijayalakshmi +2 more
doaj +1 more source
In Situ pH Determination Using 1H‐MRS Acetate Chemical Shift for Noninvasive Postmortem Examinations
NMR in Biomedicine, Volume 39, Issue 7, July 2026.The chemical‐shift difference between acetate and myo‐inositol measured by MRS enables estimation of pH in the acidic range. Noninvasive pH assessment in forensic investigations is demonstrated in 58 cases and validated by measurements in extracted tissue.
Sabina Frese +4 more
wiley +1 more source
Computation of the Hankel transform of sequences [PDF]
, 2014 Hankel determinants (persymmetric, Turan determinants) have been studying for a long time. Until now, many different methods for computation of Hankel determinants have been constructed.
Bojičić, Radica R.
core +2 more sources
Continued fractions for $q$-deformed real numbers, $\{-1,0,1\}$-Hankel determinants, and Somos-Gale-Robinson sequences [PDF]
31 pagesInternational audience$q$-deformed real numbers are power series with integer coefficients. We study Stieltjes and Jacobi type continued fraction expansions of $q$-deformed real numbers and find many new examples of such continued fractions.
Pedon, Emmanuel, Ovsienko, Valentin
core +4 more sources