Normalized binomial mid-coefficients and power means

DOI10.1016/j.jnt.2004.12.001zbMath1093.11008OpenAlexW2082925225MaRDI QIDQ2581374

Horst Alzer, Bent Fuglede

Publication date: 10 January 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.12.001

zbMATH Keywords

Diophantine equationPower meanNormailzed binomial mid-coefficient

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (4)

Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function ⋮ Series representations for some mathematical constants ⋮ A refinement of Vietoris' inequality for sine polynomials ⋮ On Turán's inequality for Legendre polynomials

Cites Work

• No two quotients of normalized binomial mid-coefficients are equal
• Liouville's operator for a disc in space
• Inequalities for binomial coefficients
• A Note on Gamma Functions
• On Some Gamma Function Inequalities
• What is the Laplace Transform?
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