A Parametric Kind of the Degenerate Fubini Numbers and Polynomials
Sunil Kumar Sharma, Waseem Ahmad Khan, C. S. Ryoo
Abstract
In this article, we introduce the parametric kinds of degenerate type Fubini polynomials and numbers. We derive recurrence relations, identities and summation formulas of these polynomials with the aid of generating functions and trigonometric functions. Further, we show that the parametric kind of the degenerate type Fubini polynomials are represented in terms of the Stirling numbers.
Topics & Concepts
Fubini's theoremMathematicsStirling numberDegenerate energy levelsTrigonometryWilson polynomialsParametric statisticsPure mathematicsDifference polynomialsType (biology)Discrete orthogonal polynomialsAlgebra over a fieldClassical orthogonal polynomialsOrthogonal polynomialsMathematical analysisPhysicsQuantum mechanicsBiologyStatisticsEcologyQuantum Mechanics and Non-Hermitian PhysicsAdvanced Mathematical Theories and ApplicationsMathematical functions and polynomials