Work

By analysis of moments of geometric distribution: New formulas involving Eulerian and Fubini numbers

Year: 2024

Type: article

Abstract: The aim of this paper is to find new moment formulas for geometric distribution by using moments of the geometric distribution in terms of Apostol-type and Bernstein polynomials, and Fubini and Eulerian numbers, etc. A new generating function for moments of the geometric distribution is constructed. New sequences of special numbers with their recurrence relations are given. In order to compute values of these sequences and moments, codes in Wolfram language are given.

Source: Applicable Analysis and Discrete Mathematics

DOI: 10.2298/aadm240518025s

Authors: Buket Simsek, Neslihan Kilar

Institutions: Akdeniz University, Niğde Ömer Halisdemir Üniversitesi

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405585041

FWCI: 3.817

Cites: 15

Cited by: 5

Related to: 10