Limit formulas for ratios of derivatives of the gamma and digamma functions at their singularities

Abstract

In the paper the author simply presents the limit formulas for ratios of derivatives of the gamma function and the digamma function at their singularities.

3 pages

References in corpus (2)

• Limit formulas for ratios of derivatives of the gamma and digamma functions at their singularities
• Limit formulas for ratios of polygamma functions at their singularities

Cited by in corpus (8)

• Derivatives of tangent function and tangent numbers
• Explicit expressions for a family of Bell polynomials and derivatives of some functions
• Limit formulas for ratios of derivatives of the gamma and digamma functions at their singularities
• Limit formulas for ratios of polygamma functions at their singularities
• Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
• From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
• Integral representations and properties of some functions involving the logarithmic function
• Partial solutions to several conjectures on completely monotonic degrees for remainders in asymptotic expansions of the digamma function