Master'sOpen Access

Sums of powers and generating functions

2021
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Advisor: Prof. Dr. Mehmet Cenkci

Abstract (EN)

In this work,an extension of classical power sums and power sums of arithmetic progressions is defined.Some properties of this extension and representation in terms of generalized Stirling numbers are presented.Morever,some arithmetical properties like divisibility and integerness are also investigated.Generating functions ang generalizations of Bernoulli numbers and polynomials are used proving the derived results.

Author

Dr. Merve Mutluer

How to Cite

Merve Mutluer (Master Thesis). Sums of powers and generating functions, 2021, Akdeniz University.

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