New Identities For Harmonic And Hyperharmonic Numbers Via Riordan Arrays

Year 2024, Volume: 13 Issue: 3, 74 - 88, 31.12.2024

Fatma Yeşil Baran , Burcu Tutkavul

Abstract

This paper deals with obtaining new identities and equations for Harmonic and Hyperharmonic numbers.We get some matrices which defined by these numbers. We also derive some identities for these numbers with the aid of Riordan array. In conclusion, we get new identities related to harmonic and hyperharmonic numbers, enabling us to determine the row sums of these matrices.

Keywords

Harmonic number, Hyperharmonic number, Riordan array, row sum, generating, function

Harmonik ve Hiperharmonik sayılar için Riordan diziler yardımıyla yeni özellikler

Abstract

This paper deals with obtaining new identities and equations for Harmonic and Hyperharmonic numbers.We get some matrices which defined by these numbers. We also derive some identities for these numbers with the aid of Riordan array. Finally, we derive some new identities concerning Harmonic and hyperharmonic numbers which allow us to obtain row sums of these matrices.

Keywords

harmonic number, hyperharmonic number, riordan array, row sum, generating function

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