Extending a recent result of Santos on partitions into odd parts.
Extending Hall's theorem into list colorings: a partial history.
Extensions de quelques théorèmes de densité
Extensions of -subsets to -subsets - existence versus constructability
Extensions of the Graham-Leeb-Rothschild theorem.
Extensions of umbral calculus II: double delta operators, Leibniz extensions and Hattori-Stong theorems
We continue our programme of extending the Roman-Rota umbral calculus to the setting of delta operators over a graded ring with a view to applications in algebraic topology and the theory of formal group laws. We concentrate on the situation where is free of additive torsion, in which context the central issues are number- theoretic questions of divisibility. We study polynomial algebras which admit the action of two delta operators linked by an invertible power series, and make related constructions...
Exterior pairs and up step statistics on Dyck paths.
Extraresolvability of balleans
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space.
Extrema in sequences.
Faber polynomial coefficient estimates of bi-univalent functions connected with the -convolution
We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a -convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.
Faces of generalized permutohedra.
Factorial ratios that are integers.
Factors of alternating sums of products of binomial and q-binomial coefficients
Factors of sums of powers of binomial coefficients
Falling factorials, generating functions, and conjoint ranking tables.
FFF. Fibonacci: di Fiore in Fiore
In occasione della commemorazione dell’800-esimo anniversario della pubblicazione del Liber Abaci, desidero richiamare l’attenzione del lettore su alcuni dei fatti che preferisco riguardanti numeri di Fibonacci. Tali fatti includono la presenza di quadrati, di multipli di quadrati e di numeri potenti tra i numeri di Fibonacci, la rappresentazione di numeri reali e la costruzione di numeri trascendenti mediante numeri di Fibonacci, la possibilità di costruire una serie zeta ed un dominio a fattorizzazione...
Fibonacci Numbers in Permutations
Finding the roots of polynomial equations: an algorithm with linear command.
We show how an old principle, due to Walsh (1922), can be used in order to construct an algorithm which finds the roots of polynomials with complex coefficients. This algorithm uses a linear command. From the very first step, the zero is located inside a disk, so several zeros can be searched at the same time.
Finite Rogers-Ramanujan type identities.
Finite topologies and partitions.