Partial derivative formulas and identities involving \(\mathbf {2}\)-variable Simsek polynomials

  • Subuhi Khan
  • Tabinda Nahid
  • Mumtaz RiyasatEmail author
Original Article


The 2-variable Simsek polynomials \(Y_n(x,y;\lambda , \delta )\) are introduced as the generalization of a new family of polynomials \(Y_n(x;\lambda )\). Certain partial derivatives formulas and identities for the 2-variable Simsek polynomials \(Y_n(x,y;\lambda , \delta )\) are established. A brief view of quasi-monomial approach establishing differential operators and equation is presented for these polynomials.


Partial differential equations Recurrence relations 2-variable Simsek polynomials 

Mathematics Subject Classification

Primary 05A10 05A15 11B37 11B68 11B83 Secondary 33C05 



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Copyright information

© Sociedad Matemática Mexicana 2019

Authors and Affiliations

  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia

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