Limit formulas for ratios of polygamma functions at their singularities

Abstract

In the paper the author presents limit formulas for ratios of polygamma functions at their singularities.

4 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