Generalized Mixed Type Bernoulli-Gegenbauer Polynomials
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Authors: Y. QUINTANA
DOI: 10.46793/KgJMat2302.245Q
Abstract:
The generalized mixed type Bernoulli-Gegenbauer polynomials of order α > −
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:
Generalized Bernoulli polynomials, Gegenbauer polynomials, GBG polynomials, inversion formula, matrix representations, matrix-inversion formula.
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