Generalized q-Stirling Numbers and Their Interpolation Functions
In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive some identities and relations related to q-Bernoull...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2013-02-01
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| Series: | Axioms |
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| Online Access: | http://www.mdpi.com/2075-1680/2/1/10 |
| _version_ | 1819230159972073472 |
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| author | Yilmaz Simsek Ismail Naci Cangul Hacer Ozden |
| author_facet | Yilmaz Simsek Ismail Naci Cangul Hacer Ozden |
| author_sort | Yilmaz Simsek |
| collection | DOAJ |
| description | In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive some identities and relations related to q-Bernoulli numbers and polynomials and q-Stirling numbers of the second kind. |
| first_indexed | 2024-12-23T11:24:39Z |
| format | Article |
| id | doaj.art-5a7c7f746f8d4411ab3f691c07ab7302 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-23T11:24:39Z |
| publishDate | 2013-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-5a7c7f746f8d4411ab3f691c07ab73022022-12-21T17:48:58ZengMDPI AGAxioms2075-16802013-02-0121101910.3390/axioms2010010Generalized q-Stirling Numbers and Their Interpolation FunctionsYilmaz SimsekIsmail Naci CangulHacer OzdenIn this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive some identities and relations related to q-Bernoulli numbers and polynomials and q-Stirling numbers of the second kind.http://www.mdpi.com/2075-1680/2/1/10q-Bernoulli numbers and polynomialsgeneralized q-Stirling numbers of the second kindq-zeta function |
| spellingShingle | Yilmaz Simsek Ismail Naci Cangul Hacer Ozden Generalized q-Stirling Numbers and Their Interpolation Functions Axioms q-Bernoulli numbers and polynomials generalized q-Stirling numbers of the second kind q-zeta function |
| title | Generalized q-Stirling Numbers and Their Interpolation Functions |
| title_full | Generalized q-Stirling Numbers and Their Interpolation Functions |
| title_fullStr | Generalized q-Stirling Numbers and Their Interpolation Functions |
| title_full_unstemmed | Generalized q-Stirling Numbers and Their Interpolation Functions |
| title_short | Generalized q-Stirling Numbers and Their Interpolation Functions |
| title_sort | generalized q stirling numbers and their interpolation functions |
| topic | q-Bernoulli numbers and polynomials generalized q-Stirling numbers of the second kind q-zeta function |
| url | http://www.mdpi.com/2075-1680/2/1/10 |
| work_keys_str_mv | AT yilmazsimsek generalizedqstirlingnumbersandtheirinterpolationfunctions AT ismailnacicangul generalizedqstirlingnumbersandtheirinterpolationfunctions AT hacerozden generalizedqstirlingnumbersandtheirinterpolationfunctions |