<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The generalized fractional calculus operators introduced by Saigo and Maeda in 1996 will be examined and further explored in this paper. By combining an incomplete ℵ-function with a broad category of polynomials, we create generalized fractional calculus formulations. The findings are presented in a concise manner that are helpful in creating certain lists of fractional calculus operators. The derived outcomes of a generic nature may yield results in the form of various special functions and in the form of different polynomials as special instances of the primary findings.</p>
</abstract>

The generalized fractional calculus operators introduced by Saigo and Maeda in 1996 will be examined and further explored in this paper. By combining an incomplete ℵ-function with a broad category of polynomials, we create generalized fractional calculus formulations. The findings are presented in a concise manner that are helpful in creating certain lists of fractional calculus operators. The derived outcomes of a generic nature may yield results in the form of various special functions and in the form of different polynomials as special instances of the primary findings.

Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials

Department of Computer Science and Mathematics

Department of Mathematics, College of Science and Humanities

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

The generalized fractional calculus operators introduced by Saigo and Maeda in 1996 will be examined and further explored in this paper. By combining an...

Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials

Article Category: Original Study

Data publikacji: 31 paź 2023

Zakres stron: 97 - 116

Otrzymano: 28 lip 2023

Przyjęty: 22 wrz 2023

DOI: https://doi.org/10.2478/ijmce-2024-0008

Słowa kluczowe
Incomplete gamma function, incomplete ℵ-functions, fractional operator, Srivastava polynomial

© 2024 Nishant et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials

Article Category: Original Study

Data publikacji: 31 paź 2023

Zakres stron: 97 - 116

Otrzymano: 28 lip 2023

Przyjęty: 22 wrz 2023

DOI: https://doi.org/10.2478/ijmce-2024-0008

Słowa kluczoweIncomplete gamma function, incomplete ℵ-functions, fractional operator, Srivastava polynomial

© 2024 Nishant et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Słowa kluczowe
Incomplete gamma function, incomplete ℵ-functions, fractional operator, Srivastava polynomial