On Generalized Bivariate (p,q)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli–Lucas Polynomials
نویسندگان
چکیده
Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with help generating functions their functional equations. In this paper, we define generalized (p,q)-Bernoulli–Fibonacci (p,q)-Bernoulli–Lucas polynomials numbers by using (p,q)-Bernoulli numbers, unified h(x)-Fibonacci h(x)-Lucas polynomials. We also introduce bivariate numbers. Then, derive some these newly established Finally, provide families bilinear bilateral for
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15040943