COMPLETELY MONOTONIC FUNCTIONS RELATED TO LOGARITHMIC DERIVATIVES OF ENTIRE FUNCTIONS

DOI10.1142/S0219530511001911zbMath1231.26011MaRDI QIDQ3096973

Henrik Laurberg Pedersen

Publication date: 15 November 2011

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Stieltjes transformcompletely monotonic function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Monotonic functions, generalizations (26A48) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Ratios of entire functions and generalized Stieltjes functions ⋮ Nielsen's beta function and some infinitely divisible distributions ⋮ Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers ⋮ Generalized Stieltjes functions and their exact order

Cites Work

• Unnamed Item
• On a conjecture of Clark and Ismail
• Real-variables characterization of generalized Stieltjes functions
• Weierstrass product representations of multiple gamma and sine functions
• Pre Stieltjes functions
• Error Bounds for Asymptotic Expansions of the Ratio of Two Gamma Functions
• INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
• What is the Laplace Transform?
• On Barnes' multiple zeta and gamma functions

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