Results 11 to 20 of about 55,025 (194)
Powers of modified Bessel functions of the first kind
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CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND [PDF]
Generalized integral formulas involving the generalized modified k-Bessel function $J_{k, }^{c, , }\left( z\right) $ of first kind are expressed in terms generalized $k-$Wright functions.
Nisar, K. S., Mondal, S. R.
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The Generalized Incomplete Gamma Function as sum over Modified Bessel Functions of the First Kind
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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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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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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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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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Integral Representations for Products of Two Bessel or Modified Bessel Functions
The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments.
Dragana Jankov Maširević +1 more
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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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