The complete monotonicity of the Rayleigh function

DOI10.1016/0022-247X(80)90240-1zbMath0449.33010OpenAlexW1990669364MaRDI QIDQ1147281

Emman C. Obi

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90240-1

zbMATH Keywords

Laplace-Stieltjes integralszeros of Bessel functionscompletely monotonic functionsabsolutely monotonic functionsRayleigh functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Other special functions (33E99)

Related Items (3)

Global solutions and smoothing effects for semi-linear evolution equations in circular domains ⋮ Functional bounds, series, and log convexity of rayleigh higher derivatives ⋮ Turán type inequalities for regular Coulomb wave functions

Cites Work

• Unnamed Item
• Functional bounds, series, and log convexity of rayleigh higher derivatives
• A class of formulas for the Rayleigh function
• A Note on the Rayleigh Polynomials
• Signs of Derivatives and Analytic Behavior
• The Rayleigh Function
• What is the Laplace Transform?

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