| dc.creator | Shah, Dhairya | |
| dc.creator | Sahni, Manoj | |
| dc.creator | Sahni, Ritu | |
| dc.creator | León Castro, Ernesto | |
| dc.creator | Olazabal Lugo, Maricruz | |
| dc.date | 2022-10-13T14:11:04Z | |
| dc.date | 2022-10-13T14:11:04Z | |
| dc.date | 2022 | |
| dc.identifier | Shah, D., Sahni, M., Sahni, R., León-Castro, E., & Olazabal-Lugo, M. (2022). Series of floor and ceiling Function—Part I: Partial summations. Mathematics, 10(7) doi:10.3390/math10071178 | |
| dc.identifier | 2227-7390 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/2961 | |
| dc.description | Artículo de publicación SCOPUS - WOS | |
| dc.description | In this paper, we develop two new theorems relating to the series of floor and ceiling func-
tions. We then use these two theorems to develop more than forty distinct novel results. Furthermore,
we provide specific cases for the theorems and corollaries which show that our results constitute a
generalisation of the currently available results such as the summation of first n Fibonacci numbers
and Pascal’s identity. Finally, we provide three miscellaneous examples to showcase the vast scope of
our developed theorems. | |
| dc.language | en | |
| dc.publisher | Mathematics | |
| dc.source | file:///D:/Downloads/mathematics-10-01178-v2-1.pdf | |
| dc.subject | Ceiling function; | |
| dc.subject | Floor function | |
| dc.subject | Faulhaber’s formula | |
| dc.subject | Fibonacci numbers | |
| dc.subject | Geometric series | |
| dc.subject | Partial summations | |
| dc.title | Series of Floor and Ceiling Function-Part I : Partial Summations | |
| dc.type | Article | |
