Some Formulae of Genocchi Polynomials of Higher Order
Cristina B. Corcino, Roberto B. Corcino, Joy Ann A. Canete
TL;DR
This paper derives new formulae for higher-order Genocchi polynomials by leveraging the basis properties of Bernoulli and Euler polynomials of higher order.
Contribution
It introduces novel formulae for higher-order Genocchi polynomials based on the basis properties of Bernoulli and Euler polynomials.
Findings
Derived new formulae for higher-order Genocchi polynomials
Utilized basis properties of Bernoulli and Euler polynomials
Enhanced understanding of polynomial relationships
Abstract
In this paper, some formulae for Genoochi polynomials of higher order are derived using the fact that sets of Bernoulli and Euler polynomials of higher order form basis for the polynomial space.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Analytic Number Theory Research