1. Research Scholar, University Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India.
2. Assistant Professor, P. G. Department of Physics, L. S. College, Muzaffarpur, B. R. A. Bihar University, Muzaffarpur, Bihar, India.
3. Retd. Professor, University Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India.