On the zeros of \(aC_ \nu{}(x)+xC_ \nu'{}(x)\) where \(C_ \nu{}(x)\) is a cylinder function

DOI10.1016/0022-247X(92)90142-ZzbMath0755.33003MaRDI QIDQ1192130

Árpád Elbert, Panayiotis D. Siafarikas

Publication date: 27 September 1992

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

zbMATH Keywords

concavityconvexityasymptotic formulaBessel functionzerogeneral cylinder functioninterlacing property for zeros

Mathematics Subject Classification ID

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

Related Items (7)

Árpád Elbert, 1939--2001: A memorial tribute. ⋮ Boundary doubling inequality and nodal sets of Robin and Neumann eigenfunctions ⋮ Ratios of Bessel functions and roots of \(\alpha J_v(x)+xJ_v'(x)=0\) ⋮ On the Green's function for the Helmholtz operator in an impedance circular cylindrical waveguide ⋮ Bessel quotients and Robin eigenvalues ⋮ Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications, Rome, Italy, June 18--22, 2001. Dedicated to the memory of Professor Árpád Elbert ⋮ Nonlocal global symmetries of a free scalar field in a bounded spatial domain

Cites Work

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• Bounds for the first positive zero of a mixed Bessel function
• On the Convexity of the Zeros of Bessel Functions
• Ordering relations between the zeros of miscellaneous bessel functions
• Infinite Sums in the Theory of Dispersion of Chemically Reactive Solute
• Zeros of combinations of bessel functions and their derivatives

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