Some Identities on the Poly-Genocchi Polynomials and Numbers
Dmitry V. Dolgy, Lee-Chae Jang
Abstract
Recently, Kim-Kim (2019) introduced polyexponential and unipoly functions. By using these functions, they defined type 2 poly-Bernoulli and type 2 unipoly-Bernoulli polynomials and obtained some interesting properties of them. Motivated by the latter, in this paper, we construct the poly-Genocchi polynomials and derive various properties of them. Furthermore, we define unipoly Genocchi polynomials attached to an arithmetic function and investigate some identities of them.
Topics & Concepts
MathematicsBernoulli polynomialsPure mathematicsType (biology)Difference polynomialsBernoulli's principleOrthogonal polynomialsDiscrete orthogonal polynomialsClassical orthogonal polynomialsConstruct (python library)CombinatoricsAlgebra over a fieldComputer sciencePhysicsProgramming languageEcologyBiologyThermodynamicsAdvanced Mathematical IdentitiesMathematical functions and polynomialsAnalytic Number Theory Research