Results 41 to 50 of about 172,105 (276)

Some fundamental Fibonacci number congruences [PDF]

Notes on Number Theory and Discrete Mathematics
This paper investigates a number of congruence properties related to the coefficients of a generalized Fibonacci polynomial. This polynomial was defined to produce properties comparable with those of the standard polynomials of some special functions ...
Anthony G. Shannon, Tian-Xiao He, Peter J.-S. Shiue, Shen C. Huang   +3 more
doaj   +1 more source

Solving Lauricella String Scattering Amplitudes through Recurrence Relations

, 2017
We show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA.
Lai, Sheng-Hong, Lee, Jen-Chi, Lee, Taejin, Yang, Yi   +3 more
core   +1 more source

Towards Defect Phase Diagrams: From Research Data Management to Automated Workflows

Advanced Engineering Materials, EarlyView.
A research data management infrastructure is presented for the systematic integration of heterogeneous experimental and simulation data required for defect phase diagrams. The approach combines openBIS with a companion application for large‐object storage, automated metadata extraction, provenance tracking and federated data access, thereby supporting ...
Khalil Rejiba, Sang‐Hyeok Lee, Christina Gasper, Martina Freund, Sandra Korte‐Kerzel, Ulrich Kerzel   +5 more
wiley   +1 more source

Beyond the Edge: Charge‐Transfer Excitons in Organic Donor‐Acceptor Cocrystals

Advanced Functional Materials, EarlyView.
Complex excitonic landscapes in acene–perfluoroacene cocrystals are unveiled by polarization‐resolved optical spectroscopy and many‐body theory. This systematic study of a prototypical model system for weakly interacting donor–acceptor compounds challenges common views of charge‐transfer excitons, providing a refined conceptual framework for ...
Sebastian Anhäuser, Ana M. Valencia, Sergei I. Ivlev, Marc Zeplichal, Andreas Terfort, Caterina Cocchi, Gregor Witte   +6 more
wiley   +1 more source

Fermatian row and column sums as a family of generalized integers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon, Mine Uysal, Engin Özkan   +2 more
doaj   +1 more source

Meromorphic solutions of recurrence relations and DRA method for multicomponent master integrals

, 2018
We formulate a method to find the meromorphic solutions of higher-order recurrence relations in the form of the sum over poles with coefficients defined recursively. Several explicit examples of the application of this technique are given.
Lee, Roman N., Mingulov, Kirill T.
core   +1 more source

Role of the Recombination Zone in Organic Light‐Emitting Devices

Advanced Materials, EarlyView.
This review summarizes the critical role of the recombination zone in organic light‐emitting diodes (OLEDs). We highlight that broadening the recombination zone in OLEDs based on emissive layers with balanced charge transport and high photoluminescence quantum yields provides a promising route toward achieving both long operational lifetime and high ...
Yungui Li, Karl Leo
wiley   +1 more source

On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties

Axioms
In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurrence ...
Ahmed Bakhet, Shahid Hussain, Mohamed Niyaz, Mohammed Zakarya, Ghada AlNemer   +4 more
doaj   +1 more source

On Upper k-Record Values from the Generalized Linear Exponential Distribution

Journal of Statistical Theory and Applications (JSTA), 2021
In this paper, we derive the exact expressions as well as recurrence relations for single and product moment of generalized upper record values from the four-parameter generalized linear exponential distribution.
M. Alam, M. A. Khan, R. U. Khan
doaj   +1 more source

Proof of a stronger version of the AJ conjecture for torus knots

, 2013
For a knot $K$ in $S^3$, the $sl_2$-colored Jones function $J_K(n)$ is a sequence of Laurent polynomials in the variable $t$, which is known to satisfy non-trivial linear recurrence relations.
Anh T Tran, Lubotzky, Reshetikhin
core   +1 more source