A Study of the $\ell$-Extension to the Results of Classical Calculus

Rahul J. Jada; Meera H. Chudasama

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arXiv · 2607.25592

A Study of the $\ell$-Extension to the Results of Classical Calculus

Rahul J. Jada·Meera H. Chudasama

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Abstract

In this paper, new generalizations of the hyper Bessel type differential operator called it as $\ell$-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 $\ell$-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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Rahul J. Jada, Meera H. Chudasama. 2026-07-28. A Study of the $\ell$-Extension to the Results of Classical Calculus. https://arxiv.org/abs/2607.25592

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