1. B.S. Abdur Rahman Crescent Institute of Science and Technology,Department of Mathematics,Chennai,Tamilnadu,India
2. Kalasalingam Academy of Research and Education,Department of Mathematics,Krishnankoil,Tamilnadu,India
3. Anna university regional campus,Department of Electronics and Communication Engineering,Madurai,Tamilnadu,India
4. Department of Mathematics, Kalasalingam Academy of Research, and Education, Krishnankoil, Tamilnadu, India