Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
D. L. Suthar, A. M. Khan, Anita Alaria, Sunıl Dutt Purohıt, Jagdev Singh
Abstract
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mellin transform. Further, certain properties of the Riemann-Liouville fractional calculus associated with extended generalized Bessel-Maitland function are also investigated.
Topics & Concepts
Bessel functionExtension (predicate logic)MathematicsFractional calculusMellin transformRepresentation (politics)Function (biology)Integral transformPure mathematicsMathematical analysisCalculus (dental)Applied mathematicsFourier transformComputer scienceLawPoliticsPolitical scienceDentistryMedicineProgramming languageEvolutionary biologyBiologyFractional Differential Equations SolutionsMathematical functions and polynomialsAdvanced Mathematical Identities