Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials
In this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/5205867 |
| _version_ | 1797728872917106688 |
|---|---|
| author | Waseem Ahmad Khan Maryam Salem Alatawi Ugur Duran |
| author_facet | Waseem Ahmad Khan Maryam Salem Alatawi Ugur Duran |
| author_sort | Waseem Ahmad Khan |
| collection | DOAJ |
| description | In this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and differentiation rules. Finally, after determining the first few zero values of the Eulerian polynomials, we draw graphical representations of these zero values. |
| first_indexed | 2024-03-12T11:20:19Z |
| format | Article |
| id | doaj.art-02c003b0775b4182bfbf0edfb253d3c1 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-03-12T11:20:19Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-02c003b0775b4182bfbf0edfb253d3c12023-09-02T00:00:04ZengHindawi LimitedJournal of Function Spaces2314-88882023-01-01202310.1155/2023/5205867Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian PolynomialsWaseem Ahmad Khan0Maryam Salem Alatawi1Ugur Duran2Department of Mathematics and Natural SciencesDepartment of MathematicsDepartment of Basic Sciences of EngineeringIn this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and differentiation rules. Finally, after determining the first few zero values of the Eulerian polynomials, we draw graphical representations of these zero values.http://dx.doi.org/10.1155/2023/5205867 |
| spellingShingle | Waseem Ahmad Khan Maryam Salem Alatawi Ugur Duran Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials Journal of Function Spaces |
| title | Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials |
| title_full | Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials |
| title_fullStr | Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials |
| title_full_unstemmed | Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials |
| title_short | Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials |
| title_sort | applications and properties for bivariate bell based frobenius type eulerian polynomials |
| url | http://dx.doi.org/10.1155/2023/5205867 |
| work_keys_str_mv | AT waseemahmadkhan applicationsandpropertiesforbivariatebellbasedfrobeniustypeeulerianpolynomials AT maryamsalemalatawi applicationsandpropertiesforbivariatebellbasedfrobeniustypeeulerianpolynomials AT ugurduran applicationsandpropertiesforbivariatebellbasedfrobeniustypeeulerianpolynomials |