5 papers
Bernoulli polynomials series via analytic summability of functions
M. H. Hooshmand, S. Mehboodi
Analytic summability of real and complex functions was introduced in 2016. In the topic, the Bernoulli numbers and polynomials were used for defining analytic summand of a given fu…
Some additive properties of and -index stability of finite groups
M. H. Hooshmand
We study some additive combinatorial properties of the group of least nonnegative residues modulo that are related to index stability of groups and packing numbers. We prove se…
Groups in which every Lagrange subset is a factor
M. H. Hooshmand, Stefan Kohl
We determine the finite groups in which every subset of cardinality dividing the order of is a \emph{factor}, i.e. has a complement of cardi…
Some characterizations of the floor, ceiling and fractional part functions with related results
M. H. Hooshmand
One of the most important issues for the frequent special functions is the uniqueness conditions of such functions. As far as we know, there are no characterizations for the floor,…
Computational aspects of subindices and subfactors with characterization of finite index stable groups
M. H. Hooshmand, M. M. Yousefian Arani
Recently, sub-indices and sub-factors of groups with connections to number theory, additive combinatorics, and factorization of groups have been introduced and studied. Since all g…