Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$

DOI10.1090/S0002-9939-2011-11402-3zbMath1248.33009OpenAlexW1989409739MaRDI QIDQ2880656

Árpád Baricz, Dragana Jankov, Tibor K. Pogány

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11402-3

zbMATH Keywords

Bessel and modified Bessel functions of the first and second kindNeumann series of Bessel and modified Bessel functions of the first and second kind

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Functional analytic methods in summability (40H05)

Related Items (10)

On new formulas for the cumulative distribution function of the noncentral chi-square distribution ⋮ Properties of the Product of Modified Bessel Functions ⋮ On Neumann series of Macdonald functions ⋮ Extension of Mathieu series and alternating Mathieu series involving the Neumann function \(Y_{\nu}\) ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ Integral representations and summations of the modified Struve function ⋮ Neumann series and Lommel functions of two variables ⋮ Second type Neumann series of generalized Nicholson function ⋮ Integral representations of Dini series of Bessel functions ⋮ Bounds for Jaeger integrals

Cites Work

• Unnamed Item
• On the coefficients of Neumann series of Bessel functions
• Turán type inequalities for Krätzel functions
• Integral representation for Neumann series of Bessel functions
• Complete Monotonicity of Modified Bessel Functions
• Bounds for modified Bessel functions of the first and second kinds
• Bounds for modified Bessel functions
• Sharp inequalities for the beta function

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