Results 61 to 70 of about 2,030,203 (332)
Updown categories: Generating functions and universal covers
A poset can be regarded as a category in which there is at most one morphism between objects, and such that at most one of Hom(c,c') and Hom(c',c) is nonempty for distinct objects c,c'.
Baez +14 more
core +1 more source
Cyclotomic Generating Functions
It is a remarkable fact that for many statistics on finite sets of combinatorial objects, the roots of the corresponding generating function are each either a complex root of unity or zero. These and related polynomials have been studied for many years by a variety of authors from the fields of combinatorics, representation theory, probability, number ...
Billey, Sara C., Swanson, Joshua P.
openaire +2 more sources
ABSTRACT Surveillance imaging aims to detect tumour relapse before symptoms develop, but it's unclear whether earlier detection of relapse leads to better outcomes in children and young people (CYP) with medulloblastoma and ependymoma. This systematic review aims to identify relevant literature to determine the efficacy of surveillance magnetic ...
Lucy Shepherd +3 more
wiley +1 more source
Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
doaj +1 more source
A Note on Bi-Orthogonal Polynomials and Functions
The theory of orthogonal polynomials is well established and detailed, covering a wide field of interesting results, as, in particular, for solving certain differential equations.
Clemente Cesarano
doaj +1 more source
Identities for generalized Appell functions and the blow-up formula
In this paper, we prove identities for a class of generalized Appell functions which are based on the $\operatorname{A}_2$ root lattice. The identities are reminiscent of periodicity relations for the classical Appell function, and are proven using only ...
Bringmann, Kathrin +2 more
core +1 more source
Pathogenic Germline PALB2 and RAD50 Variants in Patients With Relapsed Ewing Sarcoma
ABSTRACT Approximately 10% of patients with Ewing sarcoma (EwS) have pathogenic germline variants. Here, we report two cases: first, a novel germline pathogenic variant in partner and localizer of BRCA2 (PALB2) in a patient with a late EwS relapse. Its impact on homologous recombination is demonstrated, and breast cancer risk is discussed.
Molly Mack +12 more
wiley +1 more source
The Generating Functions for Special Pringsheim Continued Fractions
In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated.
Ali Hikmet Değer, Ümmügülsün Akbaba
doaj +1 more source
ABSTRACT Background We describe clinical and biologic characteristics of neuroblastoma in older children, adolescents, and young adults (OCAYA); describe survival outcomes in the post‐immunotherapy era; and identify if there is an age cut‐off that best discriminates outcomes.
Rebecca J. Deyell +14 more
wiley +1 more source
Analytic multivariate generating function for random multiplicative cascade processes
We have found an analytic expression for the multivariate generating function governing all n-point statistics of random multiplicative cascade processes.
Eggers, Hans C. +2 more
core +1 more source

