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Thesis - Campus Access Only
Master of Science (MS)
Mathematics and Statistics
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.
Wang, Jiayin, "Series and Their Applications to Boundary Value Problems" (2015). Master's Theses. 4671.