TY - GEN
T1 - Computer Algebra for unified integrals involving a multivariate Mittag-Leffler function
AU - Singh, Prakash
AU - Jain, Shilpi
AU - Agarwal, Praveen
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - Recently many authors [1] -[3] have discussed a study of heat, mass transfer, the impact of heat generation/absorption with ramp velocity, ramp temperature on magnetohydrodynamic (MHD) time-dependent Maxwell fluid over an unbounded plate embedded in an absorbent medium, the behavior of convective boundary conditions in the presence of radiation, chemical reaction, and hydro-magnetic forces in three-dimensional Powell-Eyring nanofluids by using the computer algebra. In this paper, we presented computer algebra for generalized integral formulas involving a multivariate generalized Mittag-Leffler function. These functions are expressed in terms of the generalized Lauricella series related to Srivastava and Daoust [9, p. 454]. We obtained a graphical representation of the results of Jain, S. [6] via Matlab by changing the basic parameters of the integrand.
AB - Recently many authors [1] -[3] have discussed a study of heat, mass transfer, the impact of heat generation/absorption with ramp velocity, ramp temperature on magnetohydrodynamic (MHD) time-dependent Maxwell fluid over an unbounded plate embedded in an absorbent medium, the behavior of convective boundary conditions in the presence of radiation, chemical reaction, and hydro-magnetic forces in three-dimensional Powell-Eyring nanofluids by using the computer algebra. In this paper, we presented computer algebra for generalized integral formulas involving a multivariate generalized Mittag-Leffler function. These functions are expressed in terms of the generalized Lauricella series related to Srivastava and Daoust [9, p. 454]. We obtained a graphical representation of the results of Jain, S. [6] via Matlab by changing the basic parameters of the integrand.
KW - Gamma function
KW - Generalized (Wright) hypergeometric functions pΨq
KW - Generalized Mittag-Leffler function
KW - Matlab
KW - Oberhettinger's integral formula
KW - generalized Lauricella series in several variables
UR - https://www.scopus.com/pages/publications/85164536090
U2 - 10.1109/ICFDA58234.2023.10153242
DO - 10.1109/ICFDA58234.2023.10153242
M3 - Conference contribution
AN - SCOPUS:85164536090
T3 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
BT - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Y2 - 14 March 2023 through 16 March 2023
ER -