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Generalized Sheffer's Classification and Their q-Analague


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1 Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395 007, India
     

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Polynomial sets of type zero and its properties together with various applications were studied in the past. In the Rota theory, the polynomials of Sheer A-type zero are called Sheer sequences. In particular, members of the q-analogue of the Sheer class A-type zero can be called q-Sheer sequences. In the present paper, an attempt is made to discuss q-analogues of generalized Sheer polynomials in two variables and their properties.

Keywords

Differential Operator, Sheer Polynomials, q-Analogue of Sheer Polynomials.
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  • Generalized Sheffer's Classification and Their q-Analague

Abstract Views: 288  |  PDF Views: 1

Authors

R. K. Jana
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395 007, India
S. J. Rapeli
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395 007, India
A. K. Shukla
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395 007, India

Abstract


Polynomial sets of type zero and its properties together with various applications were studied in the past. In the Rota theory, the polynomials of Sheer A-type zero are called Sheer sequences. In particular, members of the q-analogue of the Sheer class A-type zero can be called q-Sheer sequences. In the present paper, an attempt is made to discuss q-analogues of generalized Sheer polynomials in two variables and their properties.

Keywords


Differential Operator, Sheer Polynomials, q-Analogue of Sheer Polynomials.

References