Academic Journal

Certain Properties of Δh Multi-Variate Hermite Polynomials

التفاصيل البيبلوغرافية
العنوان: Certain Properties of Δh Multi-Variate Hermite Polynomials
المؤلفون: Ibtehal Alazman, Badr Saad T. Alkahtani, Shahid Ahmad Wani
المصدر: Symmetry; Volume 15; Issue 4; Pages: 839
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2023
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: Δ h Hermite polynomials, symmetric identities, monomiality principle, operational formula
الوصف: The research described in this paper follows the hypothesis that the monomiality principle leads to novel results that are consistent with past knowledge. Thus, in line with prior facts, our aim is to introduce the Δh multi-variate Hermite polynomials ΔhHm(q1,q2,⋯,qr;h). We obtain their recurrence relations by using difference operators. Furthermore, symmetric identities satisfied by these polynomials are established. The operational rules are helpful in demonstrating the novel characteristics of the polynomial families, and thus the operational principles satisfied by these polynomials are derived and will prove beneficial for future observations.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: Mathematics and Symmetry/Asymmetry; https://dx.doi.org/10.3390/sym15040839
DOI: 10.3390/sym15040839
الاتاحة: https://doi.org/10.3390/sym15040839
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.A1868ABE
قاعدة البيانات: BASE