Université La Sagesse

most citedRepeated Sums and Binomial Coefficients

4 citations

researchers with a paper here

Roudy El Haddad5 · h 3

5 papers

math.CA2021★ 2 cited

Explicit Formula for the n-th Derivative of a Quotient

Roudy El Haddad

Leibniz's rule for the $n$ -th derivative of a product is a very well known and extremely useful formula. In this article, we introduce an analogous explicit formula for the $n$ -th…

math.GM2021★ 4 cited

Repeated Sums and Binomial Coefficients

Roudy El Haddad

Binomial coefficients have been used for centuries in a variety of fields and have accumulated numerous definitions. In this paper, we introduce a new way of defining binomial coef…

math.GM2021★ 2 cited

Repeated Integration and Explicit Formula for the $n$ -th Integral of $x^{m} (ln x)^{m^{'}}$

Roudy El Haddad

Repeated integration is a major topic of integral calculus. In this article, we study repeated integration. In particular, we study repeated integrals and recurrent integrals. For…

math.CO2021★ 1 cited

Multiple Sums and Partition Identities

Roudy El Haddad

Sums of the form $\sum_{q \leq N_{1} < \dots < N_{m} \leq n} a_{(m); N_{m}} \dots a_{(2); N_{2}} a_{(1); N_{1}}$ date back to the sixteen century when Viète illustrated that the relation linki…

math.NT2021

Recurrent Sums and Partition Identities

Roudy El Haddad

Sums of the form $\sum_{N_{m} = q}^{n} \dots \sum_{N_{1} = q}^{N_{2}} a_{(m); N_{m}} \dots a_{(1); N_{1}}$ where the $a_{(k); N_{k}}$ 's are same or distinct sequences appear quite often in mathema…

Explicit Formula for the n-th Derivative of a Quotient

Repeated Sums and Binomial Coefficients

Repeated Integration and Explicit Formula for the n-th Integral of xm(lnx)m′

Multiple Sums and Partition Identities

Recurrent Sums and Partition Identities

Repeated Integration and Explicit Formula for the $n$ -th Integral of $x^{m} (ln x)^{m^{'}}$