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Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q -Trigonometric Functions with Applications in Computer Modeling.
- Source :
-
Mathematics (2227-7390) . May2023, Vol. 11 Issue 10, p2386. 21p. - Publication Year :
- 2023
-
Abstract
- In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential functions, and q-analogues of the binomial theorem. By using the Mathematica program, the computational formulae and graphical representation for the aforementioned polynomials are obtained. By making use of a partial derivative operator, we derived some interesting finite combinatorial sums. Finally, we detail some special cases for these results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 163971960
- Full Text :
- https://doi.org/10.3390/math11102386