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Explicit Properties of q-Cosine and q-Sine Euler Polynomials Containing Symmetric Structures.
- Source :
-
Symmetry (20738994) . Aug2020, Vol. 12 Issue 8, p1247-1247. 1p. - Publication Year :
- 2020
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BINOMIAL theorem
*NEWTON-Raphson method
*EULER polynomials
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 12
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 145417255
- Full Text :
- https://doi.org/10.3390/sym12081247