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We continue our programme of extending the Roman-Rota umbral calculus to the setting of delta operators over a graded ring $E_{*}$ with a view to applications in algebraic topology and the theory of formal group laws. We concentrate on the situation where $E_{*}$ 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.

Eu, Sen-Peng, Fu, Tung-Shan (2011)

The Electronic Journal of Combinatorics [electronic only]

Extraresolvability of balleans

Igor V. Protasov (2007)

Commentationes Mathematicae Universitatis Carolinae

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.

Nieto, José Heber (1994)

Divulgaciones Matemáticas

Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$ -convolution

Sheza M. El-Deeb, Serap Bulut (2023)

Mathematica Bohemica

We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$ -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.

Postnikov, Alex, Reiner, Victor, Williams, Lauren (2008)

Documenta Mathematica

Factorial ratios that are integers.

Akbik, Safwan (1995)

International Journal of Mathematics and Mathematical Sciences

Factors of alternating sums of products of binomial and q-binomial coefficients

Victor J. W. Guo, Frédéric Jouhet, Jiang Zeng (2007)

Acta Arithmetica

Factors of sums of powers of binomial coefficients

Neil J. Calkin (1998)

Acta Arithmetica

Falling factorials, generating functions, and conjoint ranking tables.

Osgood, Brad, Wu, William (2009)

Journal of Integer Sequences [electronic only]

FFF. Fibonacci: di Fiore in Fiore

Paulo Ribenboim (2002)

Bollettino dell'Unione Matematica Italiana

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

E. Foundas (1992)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Finding the roots of polynomial equations: an algorithm with linear command.

Bernard Beauzamy (2000)

Revista Matemática Complutense

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.

Sills, Andrew V. (2003)

The Electronic Journal of Combinatorics [electronic only]

Finite topologies and partitions.

Benoumhani, Moussa, Kolli, Messaoud (2010)

Journal of Integer Sequences [electronic only]

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