I want to prove that the ratio, , Γ , of the product of any m consecutive positive integers, n(n+1)(n+2)..(n+m-1), divided by the product of the first m positive number, m!, is equal to summation of i=1…n or Γ ∑ Γ. I demonstrate this formula by a very simple recurrence method, therefore these properties must be known to everyone, especially to students
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
. Some algebraic identities with independent variables are established by means of the calculus on f...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...
I want to prove that the ratio, , Γ , of the product of any m consecutive positive integers, n(n+1)(...
The graphic is a visual proof that 1+2+3+...+n=(n(n+1))/2 for any positive integer nComponente Curri...
The graphic is a visual proof that 1+2+3+...+n=(n(n+1))/2 for any positive integer nComponente Curri...
Is exposed a procedure in order to determine the solution of a combinatorial problem. The data of t...
In the paper the conclusion of combinatorial expressions for the sums of members of several sequence...
In memory of my sister Fedra Marina Jakimczuk (1970-2010). Let αm(n) be the sum of the reciprocal of...
AbstractGiven a set of sequences defined by linear recurrence relations 1 method is described for fi...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
The term “Analytic Combinatorics ” refers to the use of complex analytic meth-ods to solve problems ...
Abstract. The summation formula n−1∑ i=0 εii!(ik + uk) = vk + ε n−1n!Ak−1(n) (ε = ±1; k = 1, 2,...;...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
. Some algebraic identities with independent variables are established by means of the calculus on f...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...
I want to prove that the ratio, , Γ , of the product of any m consecutive positive integers, n(n+1)(...
The graphic is a visual proof that 1+2+3+...+n=(n(n+1))/2 for any positive integer nComponente Curri...
The graphic is a visual proof that 1+2+3+...+n=(n(n+1))/2 for any positive integer nComponente Curri...
Is exposed a procedure in order to determine the solution of a combinatorial problem. The data of t...
In the paper the conclusion of combinatorial expressions for the sums of members of several sequence...
In memory of my sister Fedra Marina Jakimczuk (1970-2010). Let αm(n) be the sum of the reciprocal of...
AbstractGiven a set of sequences defined by linear recurrence relations 1 method is described for fi...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
The term “Analytic Combinatorics ” refers to the use of complex analytic meth-ods to solve problems ...
Abstract. The summation formula n−1∑ i=0 εii!(ik + uk) = vk + ε n−1n!Ak−1(n) (ε = ±1; k = 1, 2,...;...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
. Some algebraic identities with independent variables are established by means of the calculus on f...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...