AbstractWe establish two new q-analogues of a Taylor series expansion for polynomials using special Askey–Wilson polynomial bases. Combining these expansions with an earlier expansion theorem we derive inverse relations and evaluate certain linearization coefficients. Byproducts include new summation theorems, new results on a q-exponential function, and quadratic transformations for q-series
AbstractAn algorithm is considered, and shown to lead to various unusual and unique series expansion...
In this paper, we consider the q-extensions of Boole polynomials. From those polynomials, we derive ...
AbstractA number of linear, bilinear, and multilinear generating functions are obtained here for var...
We establish two new q-analogues of a Taylor series expansion for polynomials using special Askey-Wi...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
Abstract. A classical result on expansion of an analytic function in a series of Jacobi polynomials ...
A classical result on the expansion of an analytic function in a series of Jacobi polynomials is ext...
We give a general expansion formula of functions in the Askey-Wilson polynomials and using Askey-Wil...
We give a general expansion formula of functions in the Askey-Wilson polynomials and using Askey-Wil...
We use a Sheffer classification technique to give very short proofs of the addition theorem for the ...
New nonlinear connection formulae of the q-orthogonal polynomials, such continuous q-Laguerre, conti...
Abstract. We make a brief survey of orthogonal polynomials which are not included in the Askey schem...
Taylor’s theorem and Taylor’s series constitute one of the more important tools used by mathematicia...
AbstractThe Askey–Wilson function transform is a q-analogue of the Jacobi function transform with ke...
This talk was given during Clemson University\u27s Algebra and Discrete Mathematics Seminar
AbstractAn algorithm is considered, and shown to lead to various unusual and unique series expansion...
In this paper, we consider the q-extensions of Boole polynomials. From those polynomials, we derive ...
AbstractA number of linear, bilinear, and multilinear generating functions are obtained here for var...
We establish two new q-analogues of a Taylor series expansion for polynomials using special Askey-Wi...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
Abstract. A classical result on expansion of an analytic function in a series of Jacobi polynomials ...
A classical result on the expansion of an analytic function in a series of Jacobi polynomials is ext...
We give a general expansion formula of functions in the Askey-Wilson polynomials and using Askey-Wil...
We give a general expansion formula of functions in the Askey-Wilson polynomials and using Askey-Wil...
We use a Sheffer classification technique to give very short proofs of the addition theorem for the ...
New nonlinear connection formulae of the q-orthogonal polynomials, such continuous q-Laguerre, conti...
Abstract. We make a brief survey of orthogonal polynomials which are not included in the Askey schem...
Taylor’s theorem and Taylor’s series constitute one of the more important tools used by mathematicia...
AbstractThe Askey–Wilson function transform is a q-analogue of the Jacobi function transform with ke...
This talk was given during Clemson University\u27s Algebra and Discrete Mathematics Seminar
AbstractAn algorithm is considered, and shown to lead to various unusual and unique series expansion...
In this paper, we consider the q-extensions of Boole polynomials. From those polynomials, we derive ...
AbstractA number of linear, bilinear, and multilinear generating functions are obtained here for var...
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