Studies on the zeros of Bessel functions and methods for their computation

DOI10.1134/S0965542514090073zbMath1326.33008MaRDI QIDQ889156

M. K. Kerimov

Publication date: 6 November 2015

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

zbMATH Keywords

Bessel functionsreal zeros of Bessel functionsresearch and computation techniques

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Numerical approximation and evaluation of special functions (33F05)

Related Items (11)

ON ZEROS OF THE COMBINATION OF PRODUCTS OF BESSEL FUNCTIONS ⋮ Collective interlacing and ranges of the positive zeros of Bessel functions ⋮ Asymptotic relation for zeros of cross-product of Bessel functions and applications ⋮ Zeros of Bessel function derivatives ⋮ On zeros of the modified Bessel function of the second kind ⋮ On the zeros of cross-product Bessel functions in oblique derivative boundary-value problems ⋮ 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 ⋮ Uniqueness criterion for the solution of boundary-value problems for the abstract Euler-Poisson-Darboux equation on a finite interval ⋮ Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equations

Cites Work

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• An approximation for the zeros of Bessel functions
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• On the Square of the Zeros of Bessel Functions
• Evaluation of complex zeros of bessel functions jν(z) and in(z) and their derivatives
• Calculation of the multiple zeros of the derivatives of the cylindrical bessel functions Jv(z) and yv(z)
• An Upper Bound for the First Zero of Bessel Functions
• Inequalities for the Zeros of Ultraspherical Polynomials and Bessel Functions
• Further results on McMahon's asymptotic approximations
• Error bounds for mcmahon's asympotic approximations of the zeros of the bessel functions
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
• ON THE CHOICE OF STANDARD SOLUTIONS FOR A HOMOGENEOUS LINEAR DIFFERENTIAL EQUATION OF THE SECOND ORDER
• The Rayleigh function: Theory and methods for its calculation
• Some recent results on the zeros of Bessel functions and orthogonal polynomials
• Overview of some new results concerning the theory and applications of the Rayleigh special function
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