Sums of Powers and Special Polynomials
| Autor: | Khristo N. Boyadzhiev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Mathematics - Number Theory Sums of powers Series (mathematics) 11b68 Applied Mathematics exponential integral function 11b73 sum of powers Connection (mathematics) Exponential function geometric polynomial generating function harmonic numbers FOS: Mathematics exponential polynomial QA1-939 Number Theory (math.NT) 11c08 11B68 11B73 11C08 Mathematics |
| Zdroj: | Discussiones Mathematicae-General Algebra and Applications, Vol 40, Iss 2, Pp 275-283 (2020) |
| ISSN: | 2084-0373 |
| Popis: | In this paper, we discuss sums of powers of the positive integers and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their connection to other interesting series. In particular, we show their connection to an interesting problem of Ovidiu Furdui. 10 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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