Results 21 to 30 of about 177,288,010 (224)
Correction to: Geometric Properties of the Products of Modified Bessel Functions of the First Kind [PDF]
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Khaled Mehrez, Sourav Das, Anish Kumar
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Convexity of ratios of the modified Bessel functions of the first kind with applications
Let I ν x be the modified Bessel function of the first kind of order ν . Motivated by a conjecture on the convexity of the ratio W ν x = x I ν x / I ν + 1 x for ν > - 2 , using the monotonicity rules for a ratio of two power series and an elementary technique, we present fully the convexity of the functions W ν x , W ν x - x 2 / 2 ν + 4 ...
Zhen-Hang Yang, Jing-Feng Tian
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High accuracy trigonometric approximations of the real Bessel functions of the first kind [PDF]
We construct high accuracy trigonometric interpolants from equidistant evaluations of the Bessel functions $J_n(x)$ of the first kind and integer order. The trigonometric models are cosine or sine based depending on whether the Bessel function is even or
Wu, Min +3 more
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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Bounds for Incomplete Confluent Fox–Wright Generalized Hypergeometric Functions
We establish several new functional bounds and uniform bounds (with respect to the variable) for the lower incomplete generalized Fox–Wright functions by means of the representation formulae for the McKay Iν Bessel probability distribution’s cumulative ...
Tibor K. Pogány
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Redheffer type bounds for Bessel and modified Bessel functions of the first kind [PDF]
In this paper our aim is to show some new inequalities of Redheffer type for Bessel and modified Bessel functions of the first kind. The key tools in our proofs are some classical results on the monotonicity of quotients of differentiable functions as well as on the monotonicity of quotients of two power series.
Baricz, Árpád, Mehrez, Khaled
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The Semi-Hyperbolic Distribution and Its Applications
This paper studies a subclass of the class of generalized hyperbolic distribution called the semi-hyperbolic distribution. We obtain analytical expressions for the cumulative distribution function and, specifically, their first and second lower partial ...
Roman V. Ivanov
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The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation.
Anna Witenberg
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In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity.
Saad Ihsan Butt +4 more
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Bounds and algorithms for the K-Bessel function of imaginary order [PDF]
Using the paths of steepest descent, we prove precise bounds with numerical implied constants for the modified Bessel function of imaginary order and its first two derivatives with respect to the order.
Booker, Andrew R +5 more
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