q -Analogs of H n, m r σ and Their Applications

Hao Guan, Sibel Koparal, Neşe Ömür and Waseem Ahmad Khan ()
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Hao Guan: Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
Sibel Koparal: Department of Mathematics, Bursa Uludağ University, Bursa 16059, Turkey
Neşe Ömür: Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey
Waseem Ahmad Khan: Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-11

Abstract: In this paper, inspired by recent works, we define q -analogs of H n , m σ and H n , m r σ . By implementing them, we obtain new interesting results by taking the derivative or using generating functions.

Keywords: alternative q -harmonic numbers; q -polylogarithms; generalized q -hyperharmonic numbers of order r (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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