Deformations of the Taylor formula.
Démonstration «automatique» d'identités et fonctions hypergéométriques
Determinant expressions for -harmonic congruences and degenerate Bernoulli numbers.
Dixon's formula and identities involving harmonic numbers.
Důkaz jedné věty o binomických součinitelích pomocí počtu pravděpodobnosti
Elementary -identities. (Elementare -Identitäten.)
Erratum à l’article Nombres de Bell et somme de factorielles
Étude sur le triangle harmonique
Experimental Evaluation of User Performance in a Pursuit Tracking Task With Multimodal Feedback
Expression du produit des coefficients du binôme
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.
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.
Fermat numbers in the Pascal triangle.
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...
Finite Rogers-Ramanujan type identities.
First remark on a -analogue of the Stirling numbers.
Gaps between consecutive divisors of factorials
The set of all divisors of , ordered according to increasing magnitude, is considered, and an upper bound on the gaps between consecutive ones is obtained. We are especially interested in the divisors nearest and obtain a lower bound on their distance.