التفاصيل البيبلوغرافية
| العنوان: |
Explicit Properties of q-Cosine and q-Sine Euler Polynomials Containing Symmetric Structures |
| المؤلفون: |
Cheon Seoung Ryoo, Jung Yoog Kang |
| المصدر: |
Symmetry; Volume 12; Issue 8; Pages: 1247 |
| بيانات النشر: |
Multidisciplinary Digital Publishing Institute |
| سنة النشر: |
2020 |
| المجموعة: |
MDPI Open Access Publishing |
| مصطلحات موضوعية: |
q-cosine Euler polynomials, q-sine Euler polynomials, q-trigonometric function, q-exponential function |
| الوصف: |
In this paper, we introduce q-cosine and q-sine Euler polynomials and determine identities for these polynomials. From these polynomials, we obtain some special properties using a power series of q-trigonometric functions, properties of q-exponential functions, and q-analogues of the binomial theorem. We investigate the approximate roots of q-cosine Euler polynomials that help us understand these polynomials. Moreover, we display the approximate roots movements of q-cosine Euler polynomials in a complex plane using the Newton method. |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
Mathematics and Symmetry/Asymmetry; https://dx.doi.org/10.3390/sym12081247 |
| DOI: |
10.3390/sym12081247 |
| الاتاحة: |
https://doi.org/10.3390/sym12081247 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: |
edsbas.C905C376 |
| قاعدة البيانات: |
BASE |