A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions

DOI10.1007/s40863-021-00235-2zbMath1503.11056OpenAlexW3172537525WikidataQ122173060 ScholiaQ122173060MaRDI QIDQ2107700

Feng Qi, A-ying Wan

Publication date: 2 December 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-021-00235-2

zbMATH Keywords

polynomialcompletely monotonic functionFaà di Bruno formulaBernstein functionlogarithmically completely monotonic functionStirling numbers of the first kindclosed-form expressionBell polynomial of the second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83) Monotonic functions, generalizations (26A48)

Related Items (1)

Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

Uses Software

• DLMF

Cites Work

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• Some inequalities and an application of exponential polynomials
• Some properties and an application of multivariate exponential polynomials
• A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
• A diagonal recurrence relation for the Stirling numbers of the first kind
• A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
• Diagonal recurrence relations for the Stirling numbers of the first kind
• Some properties of functions related to the gamma and psi functions
• Bernstein functions. Theory and applications

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