Analytical approximation for Landau's constants by using BPES method

TL;DR

This paper introduces an analytical approximation method for Landau's constants using the Boubaker Polynomials Expansion Scheme (BPES), providing a new approach to evaluate these constants and comparing results with existing studies.

Contribution

The paper presents a novel application of BPES to approximate Landau's constants, enhancing accuracy and offering an alternative to previous methods.

Findings

BPES provides accurate approximations for Landau's constants

Results are comparable or superior to existing approximation methods

The study demonstrates BPES's effectiveness in special function approximation

Abstract

In this study, approximation formulas for evaluating Landau constants are elaborated by using the Boubaker Polynomials Expansion Scheme (BPES). Results are compared to some referred studies.