Results 121 to 130 of about 185,152,226 (151)

(P, Q)-Extended Bessel and Modified Bessel Functions of the First Kind

Results in Mathematics, 2017
Inspired by certain recent extensions of the Euler's beta, Gauss hypergeometric and confluent hypergeometric functions [1], we introduce (p, q)- extended Bessel function J_{; ; ; \nu, p, q}; ; ; , the (p, q)- extended modified Bessel function I_{; ; ; ; \nu, p, q}; ; ; ; of the first kind of order \nu by making use two additional parameters in the ...
Rakesh K Parmar, Tibor K Pogány, Dragana Jankov Masirevic   +2 more
exaly   +4 more sources

Convexity and Concavity of the Modified Bessel Functions of the First Kind With Respect to Hölder Means

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Ming Chu, Tiehong Zhao
exaly   +3 more sources

A new sequence of approximation operators involving modified Bessel functions of first kind

Georgian Mathematical Journal
Abstract The present article deals with an approximation operator, which is based on the modified Bessel function of the first kind. Such operators are linear positive operators and preserve only the constant functions among the power test functions. We construct these operators by a partial differential equation (PDE).
Vijay Gupta, Carmen-Violeta Popescu (Muraru), Ardeleanu Elena Roxana, Marcelina Mocanu   +3 more
openaire   +2 more sources

Bounds for modified Bessel functions of the first and second kinds

Proceedings of the Edinburgh Mathematical Society, 2010
Abstract Some new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite ...
Árpád Baricz
openaire   +3 more sources

Bounds for the Product of Modified Bessel Functions [PDF]

Aequationes Mathematicae, 2016
In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of the first and second kind. Certain bounds for the product of modified Bessel functions of the first and second kind are also obtained.
Saminathan Ponnusamy, Sanjeev Singh, Dragana Jankov Masirevic   +2 more
exaly   +2 more sources

Monotonicity of Some Modified Bessel Function Products

Integral Transforms and Special Functions, 2007
For non-negative real order, the product of modified Bessel functions of first and second kind is shown to be strictly decreasing for positive real arguments.
Jean-Marc Vanden-Broeck
exaly   +2 more sources

On a Sum of Modified Bessel Functions

Mediterranean Journal of Mathematics, 2014
In this paper we consider a sum of modified Bessel functions of the first kind of which particular case is used in the study of Kanter’s sharp modified Bessel function bound for concentrations of some sums of independent symmetric random vectors.
Tibor K Pogány, Árpád Baricz
exaly   +2 more sources

Geometric Properties of the Products of Modified Bessel Functions of the First Kind

Bulletin of the Malaysian Mathematical Sciences Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled Mehrez, Sourav Das, Anish Kumar
openaire   +2 more sources

Multiple Orthogonal Polynomials Associated with the Modified Bessel Functions of the First Kind

Constructive Approximation, 2003
In the theory of orthogonality the connection between sequences of orthogonal polynomials (OPS) and the Padé table of rational approximation to a (formal) power series is well known. Already in the days of Ch. Hermite two different types of simultaneous rational `approximation' was known (in connection with transcendence proofs).
Coussement, Els, Van Assche, Walter
openaire   +2 more sources

On a second type Neumann series of modified Bessel functions of the first kind

Integral Transforms and Special Functions, 2020
The main aim of this article is to establish a summation formula for the second type Neumann series which members contain a product of two modified Bessel functions of the first kind of not necessarily equal orders and arguments.
Dragana Jankov Maširević, Tibor K. Pogány   +1 more
openaire   +3 more sources