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Publication Date

Fall 2015

Degree Type

Thesis - Campus Access Only

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

Advisor

Samih Obaid

Subject Areas

Mathematics

Abstract

In this thesis, we discuss methods of summation of series. We first concentrate on the Riemann zeta function which plays a very important role in mathematics. We investigate several methods for evaluating zeta(2) and zeta(2n) for n = 1; 2; 3; : : : :

Also, we show some interesting results about zeta(2n + 1). Then, we explore some methods for evaluation of infinite series. This includes evaluation harmonic-type series by using the digamma function introduced by Lesko and the extended alternating series test proved by Katsuura. In addition, we study a special finite series which can be used to integrate odd powers of sec theta . Finally, we look at Obaid-Rung identities and their applications to solving problems in mechanics, especially the flexure problems of beams.

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