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63.022  Articles
1 of 6.303 pages  |  10  records  |  more records»
We compute, for each genus g=0g\geq 0, the generating function Lg=Lg(t;p1,p2,…)L_g\equiv L_g(t;p_1,p_2,\dots) of (labelled) bipartite maps on the orientable surface of genus gg, with control on all face degrees. We exhibit an explicit change of variables ... see more

PENGEMBANGAN MODUL BERBASIS PENEMUAN TERBIMBING PADA MATERI FUNGSI PEMBANGKITAbstrakPenelitian ini bertujuan untuk mengembangkan modul berbasis penemuan terbimbing pada materi fungsi pembangkit yang akan digunakan selama perkuliahan mata kuliah matematika... see more

We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations of... see more

The Ops Transformation has been analytically proven to be able to solve discrete math problems related to ordinary generating functions. The purpose of this research is to develop a discrete mathematics textbook which has included ops transformation theor... see more

In this paper, we study a family of generating functions whose coefficients are polynomials that enumerate partitions in lower order ideals of Young's lattice. Our main result is that this family satisfies a rational recursion and are therefore rational f... see more

Recently, Bostan and his coauthors investigated lattice walks restricted to the non-negative octant N3\mathbb{N}^3. For the 3554835548 non-trivial models with at most six steps, they found that many models associated to a group of order at least... see more

The present study investigates the role of synchronous and asynchronous education techniques in the context of digital and game-based learning materials through a collaborative study, conducted during the Covid-19 pandemic (October 2020 – June 2021), in a... see more

The aim of this paper is to study r–generalized gamma functions of a particular form.Moreover, we define a new probability density function (p.d.f) involving these new generalized functions. Some basic functions associated with the p.d.f’s, such as moment... see more

The main object of this paper is to show that combined use of the Lagrange expansion and certain operational techniques allows to derive mixed generating functions of various families of generalized polynomials in a straightforward manner. Relevant connec... see more

1 of 6.303 pages  |  10  records  |  more records»