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http://dx.doi.org/10.4134/JKMS.j170627

q-ADDITION THEOREMS FOR THE q-APPELL POLYNOMIALS AND THE ASSOCIATED CLASSES OF q-POLYNOMIALS EXPANSIONS  

Sadjang, Patrick Njionou (Faculty of Industrial Engineering University of Douala)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.5, 2018 , pp. 1179-1192 More about this Journal
Abstract
Several addition formulas for a general class of q-Appell sequences are proved. The q-addition formulas, which are derived, involved not only the generalized q-Bernoulli, the generalized q-Euler and the generalized q-Genocchi polynomials, but also the q-Stirling numbers of the second kind and several general families of hypergeometric polynomials. Some q-umbral calculus generalizations of the addition formulas are also investigated.
Keywords
q-addition theorem; q-Appell polynomials; q-Bernoulli; q-Euler and q-Genocchi polynomials; generating functions; q-orthogonal polynomials;
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