AI 中文总结
研究经典微积分结果的\(\ell\)扩展，通过\(\ell\)-H 导数算子等进行推广，定义自然数新推广及\(\ell\)-H 积分，扩展相关经典结果与性质。
AI 中文摘要
本文研究了一种称为\(\ell\)-H 导数算子的超贝塞尔型微分算子的新推广，并利用这些推广扩展了一些经典微积分结果。还定义了自然数的新推广并扩展了其组合性质。之后定义了\(\ell\)-H 积分，评估了其基本性质并扩展了与积分相关的经典微积分结果。
英文摘要
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.
