1. Department of Studies and Research in Physics, Davangere University, Davangere Karnataka, India
2. Department of Physics, Vedavathi Government First Grade College Hiriyur, Karnataka, India
3. Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India
4. Department of Mathematics, Shri Gavisiddeshwar Arts, Science and Commerce College, Koppal, Karnataka, India
5. Department of Mechanical Engineering and University Centre for Research & Development, Chandigarh University, Mohali, Punjab, India