Results 41 to 50 of about 693,995 (304)

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

New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m

Математичні Студії, 2021
We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya, M. Ortega, W. Ramírez, A. Urieles   +3 more
doaj   +1 more source

MacWilliams Identities and Matroid Polynomials [PDF]

The Electronic Journal of Combinatorics, 2002
We present generalisations of several MacWilliams type identities, including those by Kløve and Shiromoto, and of the theorems of Greene and Barg that describe how the Tutte polynomial of the vector matroid of a linear code determines the $r$th support weight enumerators of the code.
openaire   +2 more sources

The New New-Nacci Method for Calculating the Roots of a Univariate Polynomial and Solution of Quintic Equation in Radicals

Mathematics, 2020
An arbitrary univariate polynomial of nth degree has n sequences. The sequences are systematized into classes. All the values of the first class sequence are obtained by Newton’s polynomial of nth degree. Furthermore, the values of all sequences for each
Ilija Tanackov, Ivan Pavkov, Željko Stević   +2 more
doaj   +1 more source

Generalized monotone triangles [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
In a recent work, the combinatorial interpretation of the polynomial $\alpha (n; k_1,k_2,\ldots,k_n)$ counting the number of Monotone Triangles with bottom row $k_1 < k_2 < ⋯< k_n$ was extended to weakly decreasing sequences $k_1 ≥k_2 ≥⋯≥k_n$.
Lukas Riegler
doaj   +1 more source

Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials

Advances in Mathematical Physics, 2018
Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
doaj   +1 more source

On Z_2-graded polynomial identities of the Grassmann Algebra [PDF]

, 2009
The Grassmann algebra, E, generated by an infinite dimensional vector space, L, and its Z2-graded polynomial identities play an important role in Kemer’s structure theory on varieties of associative algebras with polynomial identities.
V. R. T. da SILVA, da Silva, Viviane Ribeiro Tomaz, Di Vincenzo, Onofrio M., Onofrio M. Di Vincenzo, Viviane Ribeiro Tomaz da Silva, DI VINCENZO, Onofrio Mario   +5 more
core   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

FEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri, Ayaka Nagasato‐Ichikawa, Keita Iida, Shuhei Kimura, Akira Imamoto, Mariko Okada   +5 more
wiley   +1 more source

Graded polynomial identities of matrices [PDF]

, 2002
We consider G-graded polynomial identities of the p×p matrix algebra Mp(K) over a field K of characteristic 0 graded by an arbitrary group G. We find relations between the G-graded identities of the G-graded algebra Mp(K) and the (G×H)-graded identities ...
Bahturin, Yuri, Drensky, Vesselin
core   +1 more source

Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone, Freddy Chafota, Miguel E. Rentería, Randi J. Hagerman, Ellery Santos, Anna Atkinson, Nicholas G. Martin, Elsdon Storey, Danuta Z. Loesch   +8 more
wiley   +1 more source