On Generalized Multi Poly-Euler and Multi Poly-Bernoulli Polynomials
Roberto B. Corcino, Hassan Jolany, Cristina B. Corcino, and Takao, Komatsu

TL;DR
This paper introduces new identities and generalizations of multi poly-Euler and poly-Bernoulli polynomials, expanding their mathematical properties through multiple parameters, symmetrization, and connections to zeta values.
Contribution
It presents novel identities, symmetrized forms, and extended definitions of multi poly-Euler and poly-Bernoulli polynomials using multiple polylogarithms and Hurwitz-Lerch zeta functions.
Findings
Derived new identities for generalized multi poly-Euler polynomials.
Established symmetrized generalizations of these polynomials.
Extended poly-Bernoulli polynomials using multiple polylogarithms and zeta values.
Abstract
In this paper, we establish more identities of generalized multi poly-Euler polynomials with three parameters and obtain a kind of symmetrized generalization of the polynomials. Moreover, generalized multi poly-Bernoulli polynomials are defined using multiple polylogarithm and derive some properties parallel to those of poly-Bernoulli polynomials. These are generalized further using the concept of Hurwitz-Lerch multiple zeta values.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematical functions and polynomials
