Further results on generalized Kapteyn-type expansions

DOI10.1016/j.aml.2008.03.008zbMath1163.33301OpenAlexW2011505771MaRDI QIDQ1027492

Tibor K. Pogány

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.008

zbMATH Keywords

Kapteyn seriesBessel function of first kind \(J_{\nu}(z)\)bounds for \(J_{\nu}(z)\)generalized Kapteyn expansionpositive zeros \(j_{\nu,s}\) of \(J_{\nu}(z)\)

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Extended generalized Voigt-type functions and related bounds ⋮ Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions ⋮ A review of procedures for summing Kapteyn series in mathematical physics ⋮ Multi-parameter Mathieu, and alternating Mathieu series

Cites Work

• Inequalities for Laguerre functions
• Generalized Neumann and Kapteyn expansions
• Convergence of generalized Kapteyn expansion
• Uniform Bounds for Bessel Functions
• Monotonicity property of generalized and normalized Bessel functions of complex order
• Some improvements over Love's inequality for the Laguerre function
• Upper bound on √x J_ν(x) and its applications
• Inequalities for Bessel functions

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