Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials
Nishant, Sanjay Bhatter, Sunıl Dutt Purohıt, Kottakkaran Sooppy Nisar, Shankar Rao Munjam
Abstract
Abstract The generalized fractional calculus operators introduced by Saigo and Maeda in 1996 will be examined and further explored in this paper. By combining an incomplete ℵ-function with a broad category of polynomials, we create generalized fractional calculus formulations. The findings are presented in a concise manner that are helpful in creating certain lists of fractional calculus operators. The derived outcomes of a generic nature may yield results in the form of various special functions and in the form of different polynomials as special instances of the primary findings.
Topics & Concepts
Fractional calculusCalculus (dental)MathematicsProduct (mathematics)Function (biology)Algebra over a fieldSpecial functionsPure mathematicsApplied mathematicsMedicineEvolutionary biologyGeometryBiologyDentistryFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials