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Generalized Mixed Type Bernoulli-Gegenbauer Polynomials

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The generalized mixed type Bernoulli-Gegenbauer polynomials of order α >−1/2 are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes… Click to show full abstract

The generalized mixed type Bernoulli-Gegenbauer polynomials of order α >−1/2 are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes of special functions, namely generalized Bernoulli polynomials and Gegenbauer polynomials. The main purpose of this paper is to discuss some of their algebraic and analytic properties.

Keywords: type bernoulli; mixed type; bernoulli gegenbauer; gegenbauer polynomials; generalized mixed

Journal Title: Kragujevac Journal of Mathematics
Year Published: 2023

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