Recurrence Relations and Differential Equations of the Hermite–Sheffer and Related Hybrid Polynomial Sequences

  • Subuhi Khan
  • Shakeel Ahmad Naikoo
  • Mahvish Ali
Research Paper


In this article, the recurrence relations and differential equation for the 3-variable Hermite–Sheffer polynomials are derived by using the properties of the Pascal functional and Wronskian matrices. The corresponding results for certain members belonging to the Hermite–Sheffer polynomials are also obtained.


Hermite–Sheffer polynomials Generalized Pascal functional matrix Wronskian matrix Recurrence relations Differential equations 

Mathematics Subject Classification

15A15 15A24 33C45 65QXX 



The authors are thankful to the reviewer(s) for several useful comments and suggestions towards the improvement of this paper. The second and third authors thank the first author for her helpful discussion and excellent suggestions.

Author contributions

All the authors read and approved the final manuscript.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no competing interests.


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Copyright information

© Shiraz University 2018

Authors and Affiliations

  • Subuhi Khan
    • 1
  • Shakeel Ahmad Naikoo
    • 1
  • Mahvish Ali
    • 1
  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia

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