A new generalization of hyperharmonic numbers
Volume 129 / 2022
Annales Polonici Mathematici 129 (2022), 17-24
MSC: Primary 05A15; Secondary 05A19, 11B83, 11B37, 11Y55.
DOI: 10.4064/ap211005-31-3
Published online: 16 August 2022
Abstract
A new generalization of hyperharmonic numbers, called degenerate hyperharmonic numbers, is introduced. Also, several combinatorial identities and summation formulas involving these numbers and some other special degenerate numbers such as higher-order degenerate Daehee numbers and degenerate derangement numbers are deduced by applying the generating function methods.
