A family of entire functions connecting the Bessel function \(J_1\) and the Lambert \(W\) function

DOI10.1007/S00365-020-09499-XzbMath1462.30051arXiv1903.07574OpenAlexW2922467803WikidataQ126293695 ScholiaQ126293695MaRDI QIDQ2658525

Eugenio Massa, Christian Berg, Ana Paula Peron

Publication date: 23 March 2021

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07574

zbMATH Keywords

power seriesentire functionsBell polynomials

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function ⋮ On the coefficients in an asymptotic expansion of \((1 + 1/x)^x\) ⋮ A Family of Horn-Bernstein Functions ⋮ Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions

Cites Work

• A conjecture concerning a completely monotonic function
• Proceedings of the seventh international symposium on orthogonal polynomials, special functions and their applications, Copenhagen, Denmark, August 18--22, 2003
• On the Lambert \(w\) function
• 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
• Bernstein functions. Theory and applications
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