Results 41 to 50 of about 16,410 (257)
MathematicsSeveral important functions, including the gamma function, as well as several infinite sums, admit integral representations involving the Hankel contour. In addition, the large t asymptotic analysis of several recently derived identities satisfied by the
Athanassios S. Fokas, Jonatan Lenells
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FOS3D: A Fluorescence‐Enabled Toolkit for Characterizing a Three‐dimensional Osteosarcoma Model
Advanced Science, EarlyView.FOS3D describes fluorescent (F) osteosarcoma (OS) cells in a tri‐dimensional (3D) model. The study comprises three phases: development, where biofabrication parameters are tuned to achieve cytocompatibility and tumor‐specific mechanical properties in cell‐laden gelatin methacryloyl constructs; validation, where whole‐well fluorescence reading is ...
William Humble +9 more
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Learning Work Function via Implicit Reasoning on Electrostatic Potential Landscapes
Advanced Science, EarlyView.StructPot‐CLR establishes a cross‐modal contrastive learning framework that aligns the crystal structures of 2D materials with plane‐averaged electrostatic potential landscapes for physically informed work‐function prediction. The model achieves an MAE of 0.265 eV and an R2 of 0.902 on the held‐out test set while accurately preserving key morphological
Haoyu Wan, Yue Wu, Tianhao Su, Deng Pan
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On the Asymptotic Expansions of the (p,k)-Analogues of the Gamma Function and Associated Functions
AxiomsGeneral asymptotic expansion of the (p,k)-gamma function is obtained and various approaches to this expansion are studied. The numerical precision of the derived asymptotic formulas is shown and compared.
Tomislav Burić
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An asymptotic formula for the Koornwinder polynomials
Journal of Computational and Applied Mathematics, 2005 This paper incorporates the derivation of a leading asymptotic formula for Koornwinder multivariate Askey-Wilson polynomials whose degree tends to infinity. For the single variable case the asymptotic formula derived here is shown to be in agreement with the known corresponding result for Askey-Wilson polynomials.
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Asymptotic Formulas and Generalized Dedekind Sums [PDF]
Experimental Mathematics, 1998 We find asymptotic formulas as $n\to\infty$ for the coefficients $a(r\hbox{,}\,n)$ defined by $$ \prod_{\nu=1}^\infty\,(1-x^\nu)^{-\nu^r} =\sum_{n=0}^\infty a(r\hbox{,}\,n)x^n\hbox{.} $$ (The case $r=1$ gives the number of plane partitions of $n$.) Generalized Dedekind sums occur naturally and are studied using the Finite Fourier Transform. The methods
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Advanced Science, EarlyView.Dynamic microcavities provide reversible control over exciton‐photon coupling in two‐dimensional TMDs through piezoelectric, electrical, thermal, and all‐optical tuning. By reshaping detuning, Rabi splitting, and polariton composition, these strategies enable adaptable polaritonic functions, including optical switching, polariton lasing, and ...
Jingwen Zhang +7 more
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An asymptotic sampling formula for the coalescent with Recombination
The Annals of Applied Probability, 2010 Ewens sampling formula (ESF) is a one-parameter family of probability distributions with a number of intriguing combinatorial connections. This elegant closed-form formula first arose in biology as the stationary probability distribution of a sample configuration at one locus under the infinite-alleles model of mutation.
Jenkins, Paul A., Song, Yun S.
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Advanced Science, EarlyView.A nuclear‐pore‐inspired nested dual‐loop architecture redistributes electromagnetic energy through coupled transport, confinement, and dissipation pathways. Integrated with Co/Fe3O4 dual‐magnetic composites and topology optimization, the 11‐mm‐thick absorber delivers continuous 2–40 GHz attenuation, raises finite‐band structural utilization to 82%, and
Shaokang Liu +6 more
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Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
Fixed Point Theory and Applications, 2010 We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings.
Nicolae Adriana
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