Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight
The present paper deals with the various q-Genocchi numbers and polynomials. We define a new type of multiple generalized q-Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p-adic q-integral. We will find a link between their numbers and polynomials with wei...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/179385 |
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| _version_ | 1832566932477313024 |
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| author | J. Y. Kang |
| author_facet | J. Y. Kang |
| author_sort | J. Y. Kang |
| collection | DOAJ |
| description | The present paper deals with the various q-Genocchi numbers and polynomials. We define a new type of multiple generalized q-Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p-adic q-integral. We will find a link between their numbers and polynomials with weight α and weak weight β. Also we will obtain the interesting properties of their numbers and polynomials with weight α and weak weight β. Moreover, we construct a Hurwitz-type zeta function which interpolates multiple generalized q-Genocchi polynomials with weight α and weak weight β and find some combinatorial relations. |
| format | Article |
| id | doaj-art-f207fd67b8d64814b9f8febf29b02ed5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f207fd67b8d64814b9f8febf29b02ed52025-02-03T01:02:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/179385179385Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak WeightJ. Y. Kang0Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaThe present paper deals with the various q-Genocchi numbers and polynomials. We define a new type of multiple generalized q-Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p-adic q-integral. We will find a link between their numbers and polynomials with weight α and weak weight β. Also we will obtain the interesting properties of their numbers and polynomials with weight α and weak weight β. Moreover, we construct a Hurwitz-type zeta function which interpolates multiple generalized q-Genocchi polynomials with weight α and weak weight β and find some combinatorial relations.http://dx.doi.org/10.1155/2012/179385 |
| spellingShingle | J. Y. Kang Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight International Journal of Mathematics and Mathematical Sciences |
| title | Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight |
| title_full | Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight |
| title_fullStr | Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight |
| title_full_unstemmed | Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight |
| title_short | Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight |
| title_sort | some properties of multiple generalized q genocchi polynomials with weight and weak weight |
| url | http://dx.doi.org/10.1155/2012/179385 |
| work_keys_str_mv | AT jykang somepropertiesofmultiplegeneralizedqgenocchipolynomialswithweightandweakweight |