FIVE SERIES EQUATIONS INVOLVING GENERALIZED BATEMAN k-FUNCTIONS
By
Omkar Lal Shrivastava1, Kuldeep Narain2 and Sumita Shrivastava3
1Department of Mathematics, Government Kamladevi Rathi Girls Postgraduate College,
Rajnandgaon, Chhattisgarh, India-491441
2Department of Mathematics, Kymore Science College, Kymore, Madhya Pradesh, India-483880
3Department of Economics, Government Digvijay Postgraduate College, Rajnandgaon, Chhattisgarh, India-491441
Email: omkarlal@gmail.com, kuldeepnarain2009@gmail.com, sumitashrivastava9@gmail.com
*Corresponding author email: omkarlal@gmail.com
(Received: November 06, 2023; In format: November 13, 2023; Revised: November 23, 2023; Accepted: November 26, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53227
Abstract
In this paper, the solution of ve series equations involving generalized Bateman k-functions is obtained by reducing them to Fredholm integral equation of the second kind. The solution presented in this paper is obtained by employing the techniques of Narain and Lal [12] involving generalized Bateman k-functions by reducing them to the solution of a Fredholm inregral equation of second kind with different bounday conditions. Thus we have seen that Bateman k-functions are having interesting properties to solve double, triple, quadruple and ve series equations as special functions. These solutions are very useful in Mathematical and Quantum Physics, Aero and Fluid Dynamics and Thermodynamics.
2020 Mathematical Sciences Classification: 45XX, 45B05, 45F10,33C45.
Keywords and Phrases: Five Series equations, generalized Bateman k-functions, Fredholm integral equation.