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arXiv · 1312.7838

The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials

Serkan Araci·Mehmet Acikgoz·Armen Bagdasaryan·Erdogan Sen
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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.

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Serkan Araci, Mehmet Acikgoz, Armen Bagdasaryan, Erdogan Sen. 2013-12-25. The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials. https://doi.org/10.12691/tjant-1-1-1

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