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Diverse Properties and Approximate Roots for a Novel Kinds of the (p , q)-Cosine and (p , q)-Sine Geometric Polynomials.
- Source :
- Mathematics (2227-7390); Aug2022, Vol. 10 Issue 15, p2709-2709, 18p
- Publication Year :
- 2022
-
Abstract
- Utilizing p , q -numbers and p , q -concepts, in 2016, Duran et al. considered p , q -Genocchi numbers and polynomials, p , q -Bernoulli numbers and polynomials and p , q -Euler polynomials and numbers and provided multifarious formulas and properties for these polynomials. Inspired and motivated by this consideration, many authors have introduced (p , q) -special polynomials and numbers and have described some of their properties and applications. In this paper, using the (p , q) -cosine polynomials and (p , q) -sine polynomials, we consider a novel kinds of (p , q) -extensions of geometric polynomials and acquire several properties and identities by making use of some series manipulation methods. Furthermore, we compute the p , q -integral representations and p , q -derivative operator rules for the new polynomials. Additionally, we determine the movements of the approximate zerosof the two mentioned polynomials in a complex plane, utilizing the Newton method, and we illustrate them using figures. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 15
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 158519424
- Full Text :
- https://doi.org/10.3390/math10152709