Studies on the zeros of Bessel functions and methods for their computation. III: Some new works on monotonicity, convexity, and other properties

DOI10.1134/S0965542516120125zbMath1359.33006MaRDI QIDQ518573

M. K. Kerimov

Publication date: 28 March 2017

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

zbMATH Keywords

monotonicityconvexityBessel functions\(q\)-Bessel functionsreal zerosand concavity of zerosoverview

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (1)

Studies on the zeroes of Bessel functions and methods for their computation. IV: Inequalities, estimates, expansions, etc., for zeros of Bessel functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotonicity and concavity properties of zeros of Bessel functions
• On the zeros of derivatives of Bessel functions
• An asymptotic relation for the zeros of Bessel functions
• A convexity property of zeros of Bessel functions
• Studies on the zeros of Bessel functions and methods for their computation
• Differential inequalities for the positive zeros of Bessel functions
• Some consequences of a lower bound for the second derivative of the zeros of Bessel functions
• On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions
• On the power of the zeros of Bessel functions
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Further monotonicity and convexity properties of the zeros of cylinder functions
• A differential inequality for the positive zeros of Bessel functions
• Bounds for the small real and purely imaginary zeros of Bessel and related functions
• A Series Expansion for the First Positive Zero of the Bessel Functions
• On the Square of the Zeros of Bessel Functions
• A differential equation for the zeros of bessel functions
• Inequalities and Approximations for Zeros of Bessel Functions of Small Order
• FURTHER RESULTS ON THE ZEROS OF BESSEL FUNCTIONS
• On the Convexity of the Zeros of Bessel Functions
• Monotonicity Properties of the Zeros of Bessel Functions
• On zeros of bessel functions^†
• On the Zeros of Derivatives of Bessel Functions
• Turánians and Wronskians for the Zeros of Bessel Functions
• On the concavity of zeros of bessel functions^†
• Additional monotonicity properties of the zeros of Bessel functions
• Monotonicity and Convexity Properties of Zeros of Bessel Functions
• Theq-Gamma andq-Beta Functions†
• A Unimodal Property of Purely Imaginary Zeros of Bessel and Related Functions
• Some Monotonicity Properties of Bessel Functions
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• The Rayleigh function: Theory and methods for its calculation
• Overview of some new results concerning the theory and applications of the Rayleigh special function

This page was built for publication: Studies on the zeros of Bessel functions and methods for their computation. III: Some new works on monotonicity, convexity, and other properties