A New Family of Appell-Type Changhee Polynomials with Geometric Applications
Recently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials. We introduce two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"...
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| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/2/93 |
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| author | Rashad A. Al-Jawfi Abdulghani Muhyi Wadia Faid Hassan Al-shameri |
| author_facet | Rashad A. Al-Jawfi Abdulghani Muhyi Wadia Faid Hassan Al-shameri |
| author_sort | Rashad A. Al-Jawfi |
| collection | DOAJ |
| description | Recently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials. We introduce two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Changhee polynomials (2VGAT<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>CHP). The generating function, series representations, and summation identities related to these polynomials are explored. Further, certain symmetry identities involving two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Changhee polynomials are established. Finally, Mathematica was used to examine the zero distributions of two-variable truncated-exponential Appell-type Changhee polynomials. |
| first_indexed | 2024-03-07T22:42:40Z |
| format | Article |
| id | doaj.art-73603a13add0455b86b0afaa19596215 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-07T22:42:40Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-73603a13add0455b86b0afaa195962152024-02-23T15:07:23ZengMDPI AGAxioms2075-16802024-01-011329310.3390/axioms13020093A New Family of Appell-Type Changhee Polynomials with Geometric ApplicationsRashad A. Al-Jawfi0Abdulghani Muhyi1Wadia Faid Hassan Al-shameri2Department of Mathematics, Faculty of Sciences and Arts, Najran University, Najran 55461, Saudi ArabiaDepartment of Mathematics, Hajjah University, Hajjah, YemenDepartment of Mathematics, Faculty of Sciences and Arts, Najran University, Najran 55461, Saudi ArabiaRecently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials. We introduce two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Changhee polynomials (2VGAT<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>CHP). The generating function, series representations, and summation identities related to these polynomials are explored. Further, certain symmetry identities involving two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Changhee polynomials are established. Finally, Mathematica was used to examine the zero distributions of two-variable truncated-exponential Appell-type Changhee polynomials.https://www.mdpi.com/2075-1680/13/2/93two-variable general polynomialsChanghee polynomialsAppell-type Changhee polynomialsgeneralized Changhee polynomialszero distribution |
| spellingShingle | Rashad A. Al-Jawfi Abdulghani Muhyi Wadia Faid Hassan Al-shameri A New Family of Appell-Type Changhee Polynomials with Geometric Applications Axioms two-variable general polynomials Changhee polynomials Appell-type Changhee polynomials generalized Changhee polynomials zero distribution |
| title | A New Family of Appell-Type Changhee Polynomials with Geometric Applications |
| title_full | A New Family of Appell-Type Changhee Polynomials with Geometric Applications |
| title_fullStr | A New Family of Appell-Type Changhee Polynomials with Geometric Applications |
| title_full_unstemmed | A New Family of Appell-Type Changhee Polynomials with Geometric Applications |
| title_short | A New Family of Appell-Type Changhee Polynomials with Geometric Applications |
| title_sort | new family of appell type changhee polynomials with geometric applications |
| topic | two-variable general polynomials Changhee polynomials Appell-type Changhee polynomials generalized Changhee polynomials zero distribution |
| url | https://www.mdpi.com/2075-1680/13/2/93 |
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