On Stirling Functions of the Second Kind

DOI10.1002/sapm199184171zbMath0738.11025OpenAlexW2244540994MaRDI QIDQ3971476

M. Hauss, Paul L. Butzer

Publication date: 25 June 1992

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199184171

zbMATH Keywords

continuitydifferentiabilityBernstein polynomialsrecurrence relationsBernoulli polynomialsStirling polynomialsStirling functionsBernoulli numbers of fractional orderreal integral representationsWeyl derivative of fractional order

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68)

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Cites Work

• Stirling numbers of the second kind
• Factorial functions and Stirling numbers of fractional orders
• The Lagrange Interpolation Formula and Stirling Numbers
• An Approach to Fractional Powers of Operators via Fractional Differences
• The Application of Bernoulli Polynomials of Negative Order to Differencing
• On the Evaluation of Certain Sums Involving the Natural Numbers Raised to an Arbitrary Power
• Note on an Asymptotic Expansion of the $n$th Difference of Zero
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