IJPAM: Volume 92, No. 4 (2014)

BERNOULLI'S n-FORMULA AND n${\_}$MULTI-SERIES
BY THE GENERALIZED DIFFERENCE EQUATION

G. Britto Antony Xavier$^1$, H. Nasira Begum$^2$, B. Govindan$^3$
$^{1,2,3}$Department of Mathematics
Sacred Heart College
Tirupattur, 635601, Vellore District, Tamil Nadu, S. INDIA


Abstract. We derive the Bernoulli's n-Formula and n${\_}$multi-series by equating the numerical and complete solution of the $n^{th}$ order generalized difference equation. We also illustrate $2{\_}$multi-series to product of arithmetic and geometric functions.

Received: December 23, 2013

AMS Subject Classification: 39A70, 47B39, 39A10

Key Words and Phrases: complete solution, Bernoulli's series, difference operator, generalized difference equation, numerical solution

Download paper from here.



DOI: 10.12732/ijpam.v92i4.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 4
Pages: 535 - 547

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).