The Journal of the Indian Mathematical Society

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q-Analogue of an Extended Jacobi Polynomial and its Properties


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1 Department of Mathematics, The M.S. University of Baroda, Baroda-390 002, India
     

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In this paper we define a q-analogue of the extended Jacobi polynomial H(α, β)n, l, m[(a):(b):(x)][Boll, Un. Mat. Ital., 6(2B) (1983), 219-228], and obtain its inverse series relation, two q-integral representations, and a q-difference equation.
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  • q-Analogue of an Extended Jacobi Polynomial and its Properties

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Authors

B. I. Dave
Department of Mathematics, The M.S. University of Baroda, Baroda-390 002, India
Manisha Dalbhide
Department of Mathematics, The M.S. University of Baroda, Baroda-390 002, India

Abstract


In this paper we define a q-analogue of the extended Jacobi polynomial H(α, β)n, l, m[(a):(b):(x)][Boll, Un. Mat. Ital., 6(2B) (1983), 219-228], and obtain its inverse series relation, two q-integral representations, and a q-difference equation.