39 citations · 51 across the 25 of their papers we have counts for
7 papers · 1 filter
Estimation of Driver's Gaze Region from Head Position and Orientation using Probabilistic Confidence Regions
Sumit Jha, Carlos Busso
A smart vehicle should be able to understand human behavior and predict their actions to avoid hazardous situations. Specific traits in human behavior can be automatically predicte…
An identity for the sum of inverses of odd divisors of in terms of the number of representations of as a sum of squares
Sumit Kumar Jha
Let denote the sum of inverses of odd divisors of a positive integer , and let be the number of representations o…
A formula for the number of partitions of in terms of the partial Bell polynomials
Sumit Kumar Jha
We derive a formula for (the number of partitions of ) in terms of the partial Bell polynomials using Faà di Bruno's formula and Euler's pentagonal number theorem.
A closed form for the generalized Bernoulli polynomials via Faà di Bruno's formula
Sumit Kumar Jha
We derive a closed form for the generalized Bernoulli polynomial of order in terms of Bell polynomials and Stirling numbers of the second kind using the Faà di Bruno's formula.
An identity involving Bernoulli numbers and the Stirling numbers of the second kind
Sumit Kumar Jha
Let denote the Bernoulli numbers, and denote the Stirling numbers of the second kind. We prove the following identity $$ B_{m+n}=\sum_{\substack{0\leq k \leq n \\…
Two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind
Sumit Kumar Jha
We derive two new identities involving the Bernoulli numbers, the Euler numbers, and the Stirling numbers of the first kind using analytic continuation of a well known identity for…