q-Binomial Convolution and Transformations of q-Appell Polynomials
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In this paper, binomial convolution in the frame of quantum calculus is studied for the set Aq of q-Appell sequences. It has been shown that the set Aq of q-Appell sequences forms an Abelian group under the operation of binomial convolution. Several properties for this Abelian group structure Aq have been studied. A new definition of the q-Appell polynomials associated with a random variable is proposed. Scale transformation as well as transformation based on expectation with respect to a random variable is used to present the determinantal form of q-Appell sequences.
- Aligarh Muslim University India
- Aligarh Muslim University India
- Prince Sattam Bin Abdulaziz University Saudi Arabia
Appell sequences transformation, <i>q</i>-calculus, Abelian group, <i>q</i>-Appell polynomials, <i>q</i>-calculus; <i>q</i>-Appell polynomials; binomial convolution; Abelian group; Appell sequences transformation, QA1-939, binomial convolution, Mathematics
Appell sequences transformation, <i>q</i>-calculus, Abelian group, <i>q</i>-Appell polynomials, <i>q</i>-calculus; <i>q</i>-Appell polynomials; binomial convolution; Abelian group; Appell sequences transformation, QA1-939, binomial convolution, Mathematics
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