TY - JOUR
T1 - Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials
AU - Nishant,
AU - Bhatter, Sanjay
AU - Purohit, Sunil Dutt
AU - Nisar, Kottakkaran Sooppy
AU - Munjam, Shankar Rao
N1 - Publisher Copyright:
© 2024 Purohit et al., published by Sciendo.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - 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.
AB - 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.
KW - Incomplete gamma function
KW - Srivastava polynomial
KW - fractional operator
KW - incomplete ℵ-functions
UR - https://www.scopus.com/pages/publications/105002802350
U2 - 10.2478/ijmce-2024-0008
DO - 10.2478/ijmce-2024-0008
M3 - Article
AN - SCOPUS:105002802350
SN - 2956-7068
VL - 2
SP - 97
EP - 116
JO - International Journal of Mathematics and Computer in Engineering
JF - International Journal of Mathematics and Computer in Engineering
IS - 1
ER -