Aeran Kim · Asian Research Journal of Mathematics · 2016
For all natural number n we deduce binomial convolution sums formulae composed with Fibonacci numbers and Lucas numbers. Moreover we obtain those of similar convolution sums without a binomial symbol.
Aeran Kim · Asian Research Journal of Mathematics · 2016
In this article we construct some convolutions sums related to Fibonacci and Lucas numbers and obtain their generalized formulae.
Mangatiana A. Robdera · Asian Research Journal of Mathematics · 2016
A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional subspace.
Aeran Kim · Asian Research Journal of Mathematics · 2016
A formula expressing an in nite product as an infinite sum is called a product-to-sum identity. In this paper we try to consider a special product-to-sum as and so for integers r, u, a, b, c, x, y and z we deduce all solutions of (r, u, a, b, c, x, y, z) with r ≥ 0.
Nikolaos Halidias · Asian Research Journal of Mathematics · 2016
Our goal here is to discuss the pricing problem of European and American options in discrete time using elementary calculus so as to be an easy reference for first year undergraduate students. Using the binomial model we compute the fair price of European and American options. We...