A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials
Taekyun Kim, Waseem Ahmad Khan, Sunil Sharma, Mohd Ghayasuddin
Abstract
Recently, the parametric kind of some well known polynomials have been presented by many authors. In a sequel of such type of works, in this paper, we introduce the two parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials. Some analytical properties of these parametric polynomials are also derived in a systematic manner. We will be able to find some identities of symmetry for those polynomials and numbers.
Topics & Concepts
Degenerate energy levelsParametric statisticsMathematicsOrthogonal polynomialsBernoulli's principleBernoulli polynomialsPure mathematicsDiscrete orthogonal polynomialsDifference polynomialsClassical orthogonal polynomialsSymmetry (geometry)CombinatoricsAlgebra over a fieldPhysicsStatisticsQuantum mechanicsGeometryThermodynamicsAdvanced Mathematical IdentitiesMathematical functions and polynomialsMathematical Inequalities and Applications