About the Authors

Asif Munir

asifmunir1000@yahoo.com

Affiliation Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Azeem Shahzad

Affiliation Basic Science Department, UET, Taxila, Pakistan

Masood Khan

Affiliation Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: AM AS MK. Performed the experiments: AM AS MK. Analyzed the data: AM AS MK. Contributed reagents/materials/analysis tools: AM AS MK. Wrote the paper: AM AS MK.