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