Some identities on degenerate hyperharmonic numbers
-
Taekyun Kim
and
Dae San Kim
Abstract
The aim of this paper is to investigate some properties, recurrence relations and identities involving degenerate hyperharmonic numbers, hyperharmonic numbers and degenerate harmonic numbers. In particular, we derive an explicit expression of the degenerate hyperharmonic numbers in terms of the degenerate harmonic numbers. This is a degenerate version of the corresponding identity representing the hyperharmonic numbers in terms of harmonic numbers due to Conway and Guy.
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Articles in the same Issue
- Frontmatter
- B-essential spectra of 2 × 2 block operator matrix pencils
- New results on perturbations of p-adic linear operators
- Approximation by matrix transform means with respect to the character system of the group of 2-adic integers
- Pentactions and action representability in the category of reduced groups with action
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- Further inequalities for the 𝔸-numerical radius of certain 2 × 2 operator matrices
- A generalization of practical stability of nonlinear impulsive systems
- Properties of rational Fourier series and generalized Wiener class
- Some identities on degenerate hyperharmonic numbers
- Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations
- Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition
- Anisotropic nonlinear weighted elliptic equations with variable exponents
- Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has p;'-order
- Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations
- Reproducing kernels and minimal solutions of elliptic equations
Articles in the same Issue
- Frontmatter
- B-essential spectra of 2 × 2 block operator matrix pencils
- New results on perturbations of p-adic linear operators
- Approximation by matrix transform means with respect to the character system of the group of 2-adic integers
- Pentactions and action representability in the category of reduced groups with action
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- Further inequalities for the 𝔸-numerical radius of certain 2 × 2 operator matrices
- A generalization of practical stability of nonlinear impulsive systems
- Properties of rational Fourier series and generalized Wiener class
- Some identities on degenerate hyperharmonic numbers
- Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations
- Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition
- Anisotropic nonlinear weighted elliptic equations with variable exponents
- Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has p;'-order
- Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations
- Reproducing kernels and minimal solutions of elliptic equations
