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The main purpose of this paper is to define multiple alternative q-harmonic numbers, Hnk;q and multi-generalized q-hyperharmonic numbers of order r, Hnrk;q by using q-multiple zeta star values (q-MZSVs). We… Click to show full abstract
The main purpose of this paper is to define multiple alternative q-harmonic numbers, Hnk;q and multi-generalized q-hyperharmonic numbers of order r, Hnrk;q by using q-multiple zeta star values (q-MZSVs). We obtain some finite sum identities and give some applications of them for certain combinations of q-multiple polylogarithms Liq;k1,k2,…,kdt1,t2,…,td with the help of generating functions. Additionally, one of the applications is the sum involving q-Stirling numbers and q-Bernoulli numbers.
Keywords:
numbers order;
hyperharmonic numbers;
generalized hyperharmonic;
multi generalized;
identities multi
Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!