SOME COMBINATORIAL IDENTITIES INVOLVING q-HARMONIC NUMBERS AND GENERALIZED q-HARMONIC NUMBERS

Komatsu T.; Ramírez, JL; Sirvent, VF

Keywords: Harmonic numbers, q-harmonic numbers, multiple Q-harmonic numbers, combinational identities, continued fractions

Abstract

In this note, we give a continued fraction expansion of the generating function of q-harmonic numbers. We also give new generalizations of some finite summation identities of generalized q-harmonic numbers. Then, we derive some interesting particular cases.

Más información

Título según WOS: SOME COMBINATORIAL IDENTITIES INVOLVING q-HARMONIC NUMBERS AND GENERALIZED q-HARMONIC NUMBERS
Título según SCOPUS: SOME COMBINATORIAL IDENTITIES INVOLVING q-HARMONIC NUMBERS AND GENERALIZED q-HARMONIC NUMBERS
Título de la Revista: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
Volumen: 23
Número: 5
Editorial: YOKOHAMA
Fecha de publicación: 2022
Página final: 858
Idioma: English
Notas: ISI, SCOPUS