Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations
Recently, Frobenius-Euler polynomial has been an active research area in Applied Mathematics and number theory. In the present paper, we obtain differential equations of Frobenius-Euler polynomials by using quasi-monomiality principle. Furthermore, we introduce Frobenius-Genocchi polynomials and obt...
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BİSKA Bilisim Company
2015-03-01
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| Series: | New Trends in Mathematical Sciences |
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| Online Access: | http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=73 |
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doaj-3882235a329849c3b7de6027b9e0ee4e2020-11-25T01:17:55ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202015-03-013217218073Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equationsBanu Yılmaz Yaşar0Mehmet Ali Özarslan1Eastern Mediterranean University Faculty of Arts and SciencesEastern Mediterranean UniversityRecently, Frobenius-Euler polynomial has been an active research area in Applied Mathematics and number theory. In the present paper, we obtain differential equations of Frobenius-Euler polynomials by using quasi-monomiality principle. Furthermore, we introduce Frobenius-Genocchi polynomials and obtain some recurrence relation and some differential equations.http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=73Frobenius-Euler polynomialsFrobenius-Genocchi polynomialsFrobenius-Genocchi numbersEuler numbersEuler polynomialsGenocchi polynomialsdifferential equationsrecurrence relations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Banu Yılmaz Yaşar Mehmet Ali Özarslan |
| spellingShingle |
Banu Yılmaz Yaşar Mehmet Ali Özarslan Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations New Trends in Mathematical Sciences Frobenius-Euler polynomials Frobenius-Genocchi polynomials Frobenius-Genocchi numbers Euler numbers Euler polynomials Genocchi polynomials differential equations recurrence relations |
| author_facet |
Banu Yılmaz Yaşar Mehmet Ali Özarslan |
| author_sort |
Banu Yılmaz Yaşar |
| title |
Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations |
| title_short |
Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations |
| title_full |
Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations |
| title_fullStr |
Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations |
| title_full_unstemmed |
Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations |
| title_sort |
frobenius-euler and frobenius-genocchi polynomials and their differential equations |
| publisher |
BİSKA Bilisim Company |
| series |
New Trends in Mathematical Sciences |
| issn |
2147-5520 2147-5520 |
| publishDate |
2015-03-01 |
| description |
Recently, Frobenius-Euler polynomial has been an active research area in Applied Mathematics and number theory. In the present paper, we obtain differential equations of Frobenius-Euler polynomials by using quasi-monomiality principle. Furthermore, we introduce Frobenius-Genocchi polynomials and obtain some recurrence relation and some differential equations. |
| topic |
Frobenius-Euler polynomials Frobenius-Genocchi polynomials Frobenius-Genocchi numbers Euler numbers Euler polynomials Genocchi polynomials differential equations recurrence relations |
| url |
http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=73 |
| work_keys_str_mv |
AT banuyılmazyasar frobeniuseulerandfrobeniusgenocchipolynomialsandtheirdifferentialequations AT mehmetaliozarslan frobeniuseulerandfrobeniusgenocchipolynomialsandtheirdifferentialequations |
| _version_ |
1725145003851776000 |