Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences
The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inlin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/7/1315 |
| _version_ | 1797587422916116480 |
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| author | Rabab Alyusof Shahid Ahmmad Wani |
| author_facet | Rabab Alyusof Shahid Ahmmad Wani |
| author_sort | Rabab Alyusof |
| collection | DOAJ |
| description | The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Δ</mo><mi>h</mi></msub></semantics></math></inline-formula> tangent-based Appell polynomials and derivation of certain of its characterizations such as explicit form, determinant form, monomiality principle, etc. These polynomials are designed to exhibit certain symmetries themselves or to capture and describe symmetrical patterns in mathematical structures. Further, certain members of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Δ</mo><mi>h</mi></msub></semantics></math></inline-formula> Appell polynomials such as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Δ</mo><mi>h</mi></msub></semantics></math></inline-formula> Bernoulli, Euler, and Genocchi polynomials are taken, and their corresponding results are obtained. |
| first_indexed | 2024-03-11T00:35:51Z |
| format | Article |
| id | doaj.art-0ffdb587384d4688b5e552512bdaa54f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T00:35:51Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0ffdb587384d4688b5e552512bdaa54f2023-11-18T21:33:22ZengMDPI AGSymmetry2073-89942023-06-01157131510.3390/sym15071315Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell SequencesRabab Alyusof0Shahid Ahmmad Wani1Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International University, Pune 412115, IndiaThe study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Δ</mo><mi>h</mi></msub></semantics></math></inline-formula> tangent-based Appell polynomials and derivation of certain of its characterizations such as explicit form, determinant form, monomiality principle, etc. These polynomials are designed to exhibit certain symmetries themselves or to capture and describe symmetrical patterns in mathematical structures. Further, certain members of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Δ</mo><mi>h</mi></msub></semantics></math></inline-formula> Appell polynomials such as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>Δ</mo><mi>h</mi></msub></semantics></math></inline-formula> Bernoulli, Euler, and Genocchi polynomials are taken, and their corresponding results are obtained.https://www.mdpi.com/2073-8994/15/7/1315Δ<i><sub>h</sub></i> polynomialstangent and Appell polynomialsmonomiality principledeterminant formseries representationsdifferential equation |
| spellingShingle | Rabab Alyusof Shahid Ahmmad Wani Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences Symmetry Δ<i><sub>h</sub></i> polynomials tangent and Appell polynomials monomiality principle determinant form series representations differential equation |
| title | Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences |
| title_full | Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences |
| title_fullStr | Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences |
| title_full_unstemmed | Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences |
| title_short | Several Characterizations of Δ<i><sub>h</sub></i>-Doped Special Polynomials Associated with Appell Sequences |
| title_sort | several characterizations of δ i sub h sub i doped special polynomials associated with appell sequences |
| topic | Δ<i><sub>h</sub></i> polynomials tangent and Appell polynomials monomiality principle determinant form series representations differential equation |
| url | https://www.mdpi.com/2073-8994/15/7/1315 |
| work_keys_str_mv | AT rababalyusof severalcharacterizationsofdisubhsubidopedspecialpolynomialsassociatedwithappellsequences AT shahidahmmadwani severalcharacterizationsofdisubhsubidopedspecialpolynomialsassociatedwithappellsequences |