Applying the monomiality principle to the new family of Apostol Hermite Bernoulli-type polynomials
Copyright policy )Applying the monomiality principle to the new family of Apostol Hermite Bernoulli-type polynomials
Abstract In this article, we introduce a new class of polynomials, known as Apostol Hermite Bernoulli-type polynomials, and explore some of their algebraic properties, including summation formulas and their determinant form. The majority of our results are proven using generating function methods. Additionally, we investigate the monomiality principle related to these polynomials and identify the corresponding derivative and multiplicative operators.
- University of the Coast Colombia
- UniNettuno University Italy
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hermite polynomials, monomiality principle, Other functions defined by series and integrals, Apostol Hermite Bernoulli-type polynomials, Other special orthogonal polynomials and functions, Bernoulli-type polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hermite polynomials, monomiality principle, Other functions defined by series and integrals, Apostol Hermite Bernoulli-type polynomials, Other special orthogonal polynomials and functions, Bernoulli-type polynomials
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!