JOURNAL ARTICLE

Leibniz rule for the high q‐derivatives of a quotient of two functions.

  • Published In: Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 4. P. 4477 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Rajković, Predrag M.; Rakić, Dragan S.; Marinkovic, Sladjana D. 3 of 3

Abstract

In this paper, we introduce some explicit and recursive formulas for the n$$ n $$th q$$ q $$‐derivative of a quotient of two functions. We establish the connections between linear algebra, the homomorphisms between commutative algebras and the properties of q$$ q $$‐differential operator. One of the formulas involves the determinant of the functions and their q$$ q $$‐derivatives. Then, we show that the formulas in the classical mathematical analysis are their special cases. Finally, we used formulas to obtain some interesting q$$ q $$‐identities. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2025/03, Vol. 48, Issue 4, p4477
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:0170-4214
  • DOI:10.1002/mma.10558
  • Accession Number:183601811
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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