NEW ASYMPTOTIC EXPANSIONS AND INEQUALITIES FOR THE LANDAU CONSTANTS

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Authors

Chao Ping Chen · Henan Polytechnic University

Cristinel Mortici · Valahia University of Targoviste

Abstract

The Landau constants are defined by G_n=∑_(k=0)^n▒〖1/〖16〗^k (2k¦k)^2 〗, n∈N_0≔N∪{0}; N≔{1,2,3,…}.These constants play an important role in complex analysis. In this paper, we establish new asymptotic expansions and inequalities for the Landau constants.

Topics & Keywords

Mathematical Inequalities and Applications Mathematical functions and polynomials Analytic and geometric function theory

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Journal of Science and Arts

Volume 26, Issue 1, pp. 105-105

DOI: 10.46939/j.sci.arts-26.1-a09

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