T. Wakhare

activity

20142026

q

-bracket operators

6 citations · 22 across the 25 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.NT2016★ 5 cited

Base- $b$ analogues of classic combinatorial objects

Tanay Wakhare, Christophe Vignat

We study the properties of the base- $b$ binomial coefficient defined by Jiu and the second author, introduced in the context of a digital binomial theorem. After introducing a gene…

math.CO2016★ 6 cited

Special classes of $q$ -bracket operators

Tanay Wakhare

We study the $q$ -bracket operator of Bloch and Okounkov when applied to $f (λ) = \sum_{λ_{i} \in λ} g (λ_{i})$ and $f (λ) = \sum_{λ_{i} \in λ λ_{i} distinct} g (λ_{i})$ . We use these…

math.NT2016★ 1 cited

A Continuous Analogue of Lattice Path Enumeration: Part II

T. Wakhare, C. Vignat

Here are exhibited some additional results about the continuous binomial coefficients as introduced by L. Cano and R. Diaz in [1].

math.HO2016★ 2 cited

Sums involving the number of distinct prime factors function

Tanay Wakhare

The main object of this paper is to find closed form expressions for finite and infinite sums that are weighted by $ω (n)$ , where $ω (n)$ is the number of distinct prime factors of $…

Base-b analogues of classic combinatorial objects

Special classes of q-bracket operators

A Continuous Analogue of Lattice Path Enumeration: Part II

Sums involving the number of distinct prime factors function

Base- $b$ analogues of classic combinatorial objects

Special classes of $q$ -bracket operators