Academic Journal
Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications
| العنوان: | Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications |
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| المؤلفون: | Awatif Muflih Alqahtani, Saleem Yousuf, Shahid Ahmad Wani, Roberto S. Costas-Santos |
| المصدر: | Axioms, Vol 13, Iss 12, p 859 (2024) |
| بيانات النشر: | MDPI AG, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | degenerate MDHAP, Appell polynomials, operational formalism monomiality principle, symmetric identities, Mathematics, QA1-939 |
| الوصف: | This paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families. We argue that applying the monomiality principle yields novel results while remaining consistent with established findings. The primary focus of this study is the introduction of degenerate multidimensional Hermite-based Appell polynomials (DMHAP), denoted as An[r]H(l1,l2,l3,…,lr;ϑ). These DMHAP forms essential families of orthogonal polynomials, demonstrating strong connections with classical Hermite and Appell polynomials. Additionally, we derive symmetric identities and examine the fundamental properties of these polynomials. Finally, we establish an operational framework to investigate and develop these polynomials further. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 13120859 2075-1680 |
| Relation: | https://www.mdpi.com/2075-1680/13/12/859; https://doaj.org/toc/2075-1680 |
| DOI: | 10.3390/axioms13120859 |
| URL الوصول: | https://doaj.org/article/691a298303e14b7d902fe22f7eded23f |
| رقم الانضمام: | edsdoj.691a298303e14b7d902fe22f7eded23f |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 13120859 20751680 |
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| DOI: | 10.3390/axioms13120859 |