Overview of some new results concerning the theory and applications of the Rayleigh special function

DOI10.1134/S0965542508090029MaRDI QIDQ6195846

M. K. Kerimov

Publication date: 14 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf105

zbMATH Keywords

orthogonal polynomialsLommel polynomialsRayleigh special functionestimates for zeros of Bessel functionsoverview of new results related to the Rayleigh function

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20)

Related Items (7)

Studies on the zeros of Bessel functions and methods for their computation ⋮ Computation of sums of natural powers of the inverses of roots of an equation connected with a spectral problem ⋮ Studies on the zeroes of Bessel functions and methods for their computation. IV: Inequalities, estimates, expansions, etc., for zeros of Bessel functions ⋮ Studies on the zeros of Bessel functions and methods for their computation. III: Some new works on monotonicity, convexity, and other properties ⋮ Studies on the zeros of Bessel functions and methods for their computation. II: Monotonicity, convexity, concavity, and other properties ⋮ Basis property of the system of root functions of the oblique derivative problem for the Laplace operator in a disk ⋮ Application of Krein's series to calculation of sums containing zeros of the Bessel functions

Cites Work

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• Some remarks on works concerning the summation of series with inverse powers of zeros of first-kind Bessel functions
• The Rayleigh function: Theory and methods for its calculation

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