Abstract
In the paper, the authors establish an inequality involving the gamma and digamma functions and apply it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.
Funding source: NNSF
Award Identifier / Grant number: 11361038
Funding statement: The first author was partially supported by the NNSF of China under Grant No. 11361038.
The authors thank the anonymous referees for their valuable comments on the original version of this paper.
References
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Articles in the same Issue
- Frontmatter
- Admissible pair of spaces for non-correctly solvable linear differential equations
- Defective functions of meromorphic functions in the unit disc
- A boundary-value problem for the equation of mixed type with generalized operators of fractional differentiation in the boundary conditions
- Density not realizable as the Jacobian determinant of a bilipschitz map
- An inequality involving the gamma and digamma functions
- Asymptotic behaviour of solutions to one-dimensional reaction diffusion cooperative systems involving infinitesimal generators
- Generalized slow growth of special monogenic functions
- Iterative algorithm for the split equality problem in Hilbert spaces
- On norm of single layer potentials on segments
Articles in the same Issue
- Frontmatter
- Admissible pair of spaces for non-correctly solvable linear differential equations
- Defective functions of meromorphic functions in the unit disc
- A boundary-value problem for the equation of mixed type with generalized operators of fractional differentiation in the boundary conditions
- Density not realizable as the Jacobian determinant of a bilipschitz map
- An inequality involving the gamma and digamma functions
- Asymptotic behaviour of solutions to one-dimensional reaction diffusion cooperative systems involving infinitesimal generators
- Generalized slow growth of special monogenic functions
- Iterative algorithm for the split equality problem in Hilbert spaces
- On norm of single layer potentials on segments