A Nicholson-type integral for the cross-product of the Bessel functions

DOI10.1016/j.jmaa.2015.11.056zbMath1332.33014OpenAlexW2188885290MaRDI QIDQ905948

Sebastian Schmutzhard, Tomasz Hrycak

Publication date: 28 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.056

zbMATH Keywords

Bessel functionsHankel functionscross-productNicholson's formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface ⋮ Combinations of cross-products of Bessel functions, associated addition formulas and biorthogonal systems ⋮ Second type Neumann series of generalized Nicholson function

Uses Software

• DLMF

Cites Work

• On the computation of spherical Bessel functions of complex arguments
• Evaluation of the Zeros of Cross-Product Bessel Functions
• Three-Dimensional Temperature Response to Impulsive Input Outside a Spherical Reservoir
• Monotonicity and Convexity Properties of Zeros of Bessel Functions
• The bends on a quantum waveguide and cross-products of Bessel functions
• Nicholson’s integral for 𝐽_{𝑛}²(𝑧)+𝑌_{𝑛}²(𝑧)
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