New Type of Degenerate Changhee–Genocchi Polynomials
Maryam Salem Alatawi, Waseem Ahmad Khan
Abstract
A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim. We investigate some properties of these numbers and polynomials. We also introduce a higher-order new type of degenerate Changhee–Genocchi numbers and polynomials which can be represented in terms of the degenerate logarithm function. Finally, we derive their summation formulae.
Topics & Concepts
MathematicsDegenerate energy levelsLogarithmPure mathematicsType (biology)Discrete orthogonal polynomialsClassical orthogonal polynomialsDifference polynomialsOrthogonal polynomialsOrder (exchange)Koornwinder polynomialsWilson polynomialsMathematical analysisPhysicsQuantum mechanicsEconomicsEcologyFinanceBiologyAdvanced Mathematical IdentitiesAnalytic Number Theory ResearchMathematical functions and polynomials