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A Study of the ℓ-Extension to the Results of Classical Calculus

2026/07/28 by Rahul J. Jada, Meera H. Chudasama
Mathematics · #math.CV

paper · pdf

Abstract

In this paper, new generalizations of the hyper Bessel type differential operator called it as ℓ-H derivative operator, are studied, and using these, some of the classical results of calculus are extended. Also, new generalization of a natural number is defined and then its combinatorial properties are extended. After this, the ℓ-H integral is defined, and then its basic properties are assessed and classical results of calculus pertaining to the integral are extended.

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