This paper is published in Volume-4, Issue-5, 2018
Area
Differential Equations
Author
T. Sasikala
Co-authors
N. Karthikeyan
Org/Univ
Vivekanandha Arts and Science College for Women, Namakkal, Tamil Nadu, India
Pub. Date
26 September, 2018
Paper ID
V4I5-1267
Publisher
Keywords
Fourier series, Sums of products of higher-order Bernoulli functions

Citationsacebook

IEEE
T. Sasikala, N. Karthikeyan. Fourier series expansions of sum and products of Bernoulli functions, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.

APA
T. Sasikala, N. Karthikeyan (2018). Fourier series expansions of sum and products of Bernoulli functions. International Journal of Advance Research, Ideas and Innovations in Technology, 4(5) www.IJARIIT.com.

MLA
T. Sasikala, N. Karthikeyan. "Fourier series expansions of sum and products of Bernoulli functions." International Journal of Advance Research, Ideas and Innovations in Technology 4.5 (2018). www.IJARIIT.com.

Abstract

We can derive from a polynomial identity, in turn, follows from the Fourier series expansion of sums of products of Bernoulli functions. We consider three types of functions given by sums of products of higher– order Bernoulli functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions.
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