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### Co-authors

- Imran AnwarLahore University of Management Sciences, Lahore Pakistan.Verified email at lums.edu.pk
- Zahid RazaAssociate Professor of Mathematics, College of Science, University of Sharjah, UAEVerified email at sharjah.ac.ae
- Masahiko YoshinagaHokkaido UniversityVerified email at math.sci.hokudai.ac.jp
- ZAIN HAMID SALEEMArgonne National LaboratoryVerified email at anl.gov
- Amer IqbalVerified email at alum.mit.edu
- Michele TorielliHokkaido UniversityVerified email at math.sci.hokudai.ac.jp
- Muhammad Imran QureshiAssistant Professor of Mathematics, KFUPMVerified email at kfupm.edu.sa
- Haniya AzamAssistant Professor of Mathematics, SBASSE, Lahore University of Management Sciences.Verified email at lums.edu.pk
- Usman AliBahauddin Zakariya University MultanVerified email at bzu.edu.pk
- Zaffar IqbalAssistant Professor, University of GujratVerified email at uog.edu.pk

Shaheen Nazir

Verified email at lums.edu.pk