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Joseph H. Silverman. Wieferich’s criterion and the abc-conjecture. J. Number Theory, 30(2):226-237, 1988.

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Article

The Legendre Polynomials Associated with Bernoulli, Euler, Hermite and Bernstein Polynomials

1Atatürk Street, Hatay, Turkey

2University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, Gaziantep, Turkey

3Russian Academy of Sciences, Institute for Control Sciences, Profsoyuznaya,Moscow, Russia

4Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey


Turkish Journal of Analysis and Number Theory. 2013, Vol. 1 No. 1, 1-3
DOI: 10.12691/tjant-1-1-1
Copyright © 2013 Science and Education Publishing

Cite this paper:
Serkan Araci, Mehmet Acikgoz, Armen Bagdasaryan, ERDOĞAN ŞEN. The Legendre Polynomials Associated with Bernoulli, Euler, Hermite and Bernstein Polynomials. Turkish Journal of Analysis and Number Theory. 2013; 1(1):1-3. doi: 10.12691/tjant-1-1-1.

Correspondence to: Serkan  Araci, Atatürk Street, Hatay, Turkey. Email: mtsrkn@hotmail.com

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.

Keywords