IJPAM: Volume 107, No. 3 (2016)

FINITE AND INFINITE MULTI-SERIES TYPE SOLUTIONS
OF GENERALIZED MIXED DIFFERENCE EQUATION

M. Maria Susai Manuel$^1$, G. Dominic Babu$^2$, G. Britto Antony Xavier$^3$
$^1$Department of Mathematics
R.M.D. Engineering College
Kavaraipettai, 601 206, Tamil Nadu, S. INDIA
$^2$Department of Mathematics
Annai Velankanni College
Tholaiyavattam, Kanyakumari District, Tamil Nadu, S. INDIA
$^3$Department of Mathematics
Sacred Heart College
Tirupattur, Vellore District, INDIA


Abstract. In this paper, we obtain the solutions of a generalized $\alpha_i$-mixed difference equation in closed, finite and infinite multi-series forms. By equating closed form with multi-series type solutions of the $\alpha_i$-mixed difference equation, we obtain the values of certain types of infinite and finite multi-series. Suitable examples are provided to illustrate the main results.

Received: January 5, 2016

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

Key Words and Phrases: generalized difference equation, mixed difference equation, solutions in multi-series, closed form solution

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DOI: 10.12732/ijpam.v107i3.4 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: 2016
Volume: 107
Issue: 3
Pages: 551 - 563


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