Skip to main content
SpringerLink
Log in

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

  • Original Article
  • Published:
Boletín de la Sociedad Matemática Mexicana Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dattoli, G.: Hermite-Bessel and Laguerre-Bessel functions: a by-product of the monomiality principle, Advanced Special Functions and Applications (Melfi, 1999), 147–164, Proc. Melfi Sch. Adv. Top. Math. Phys., vol. 1, Aracne (2000)

  2. Subuhi Khan, T. Nahid, M. Riyasat, Properties and graphical representations of the 2-variable form of the Simsek polynomials. J. Number Theory (submitted)

  3. Kim, T.: Daehee numbers and polynomials. Appl. Math. Sci. (Ruse) 7, 5969–5976 (2013)

    MathSciNet  Google Scholar 

  4. Simsek, Y.: Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integral. Turk. J. Math. 42, 557–577 (2018)

    Article  MathSciNet  Google Scholar 

  5. Steffensen, J.F.: The poweroid, an extension of the mathematical notion of power. Acta Math. 73, 333–366 (1941)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, India

    Subuhi Khan, Tabinda Nahid & Mumtaz Riyasat

Authors
  1. Subuhi Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tabinda Nahid
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mumtaz Riyasat
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mumtaz Riyasat.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work has been done under Post-Doctoral Fellowship (Office Memo No.2/40(38)/2016/R&D-II/1063) awarded to Dr. Mumtaz Riyasat by the National Board of Higher Mathematics, Department of Atomic Energy, Government of India, Mumbai, and Senior Research Fellowship (Award letter no. F./2014-15/NFO-2014-15-OBC-UTT-24168/(SA-III/Website)) awarded to Ms. Tabinda Nahid by the University Grants Commission, Government of India, New Delhi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khan, S., Nahid, T. & Riyasat, M. Partial derivative formulas and identities involving \(\mathbf {2}\)-variable Simsek polynomials. Bol. Soc. Mat. Mex. 26, 1–13 (2020). https://doi.org/10.1007/s40590-019-00236-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40590-019-00236-4

Keywords

Mathematics Subject Classification

Search

Navigation