Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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q-ADDITION THEOREMS FOR THE q-APPELL POLYNOMIALS AND THE ASSOCIATED CLASSES OF q-POLYNOMIALS EXPANSIONS

  • Received : 2017.09.28
  • Accepted : 2018.01.12
  • Published : 2018.09.01
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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

Acknowledgement

Supported by : University of Kassel

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