Applications of the Finite Operator〖 〗_3 E_2 (■(q^(-N),a,b@c,d);q,-fθ) for the Polynomials B_n (a,b,c,d,f,x,y|q)

Authors

  • Rasha H. Jaber Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq
  • Husam L. Saad Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq https://orcid.org/0000-0001-8923-4759

DOI:

https://doi.org/10.24996/ijs.2023.64.2.24

Keywords:

Finite q-exponential operator, Generating function, Mehler’s formula, Rogers formula, Al-Salam-Carlitz polynomials

Abstract

     In this work,   polynomials  and the finite q-exponential operator  are constructed. The operator  is used to combine an operator proof of the generating function with its extension, Mehler's formula with its extension and Roger's formula for the polynomials . The generating function with its extension,  Mehler's formula with its extension and Rogers formula for Al-Salam-Carlitz polynomials  are deduced by giving special values to polynomials .

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Published

2023-02-28

Issue

Section

Mathematics

How to Cite

Applications of the Finite Operator〖 〗_3 E_2 (■(q^(-N),a,b@c,d);q,-fθ) for the Polynomials B_n (a,b,c,d,f,x,y|q). (2023). Iraqi Journal of Science, 64(2), 783-797. https://doi.org/10.24996/ijs.2023.64.2.24

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