# Turán type inequalities for general bessel functions

A. Baricz, Saminathan Ponnusamy, Sanjeev Singh

Research output: Article

2 Citations (Scopus)

### Abstract

In this paper some Tuŕan type inequalities for the general Bessel function, monotonicity and bounds for its logarithmic derivative are derived. Moreover we find the series representation and the relative extrema of the Tuŕanian of general Bessel functions. The key tools in the proofs are the recurrence relations together with some asymptotic relations for Bessel functions.

Original language English 709-719 11 Mathematical Inequalities and Applications 19 2 https://doi.org/10.7153/mia-19-51 Published - ápr. 1 2016

### Fingerprint

Bessel functions
Bessel Functions
Logarithmic Derivative
Series Representation
Extremum
Recurrence relation
Monotonicity
Derivatives

### ASJC Scopus subject areas

• Mathematics(all)
• Applied Mathematics

### Cite this

Turán type inequalities for general bessel functions. / Baricz, A.; Ponnusamy, Saminathan; Singh, Sanjeev.

In: Mathematical Inequalities and Applications, Vol. 19, No. 2, 01.04.2016, p. 709-719.

Research output: Article

Baricz, A. ; Ponnusamy, Saminathan ; Singh, Sanjeev. / Turán type inequalities for general bessel functions. In: Mathematical Inequalities and Applications. 2016 ; Vol. 19, No. 2. pp. 709-719.
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