The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials
Number Theory
2019-07-04 v1 Classical Analysis and ODEs
Abstract
In the present paper, we deal mainly with arithmetic properties of Legendre polynomials by using their orthogonality property. We show that Legendre polynomials are proportional with Bernoulli, Euler, Hermite and Bernstein polynomials.
Cite
@article{arxiv.1312.7838,
title = {The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials},
author = {Serkan Araci and Mehmet Acikgoz and Armen Bagdasaryan and Erdogan Sen},
journal= {arXiv preprint arXiv:1312.7838},
year = {2019}
}