Results 21 to 30 of about 54,823 (167)
Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 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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Redheffer type bounds for Bessel and modified Bessel functions of the first kind [PDF]
Aequationes mathematicae, 2018 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
Revista Matemática Complutense, 2022 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
Mathematics, 2022 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
Stats, 2023 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
Mathematics, 2019 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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Journal of Telecommunications and Information Technology, 2020 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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Complexity, 2021 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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New index transforms of the Lebedev- Skalskaya type [PDF]
, 2015 New index transforms, involving the real part of the modified Bessel function of the first kind as the kernel are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces ...
Yakubovich, Semyon
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Inequalities involving modified Bessel functions of the first kind II
Journal of Mathematical Analysis and Applications, 2007 The paper deals with the modified Bessel function of the first kind and order \(p\), denoted by \(I_{p}(x)\), \(x\in R\), \(p\neq -1,-2,\dots\) and the functions \(\mathcal{I}_{p}(x)=2^{p}\Gamma (p+1)x^{-p}I_{p}(x)\), \(\gamma _{p}(x)=\mathcal{I}_{p}(\sqrt{x})\) and \(v_{p}(x)=2(p+1){{\gamma _{p}(x^{2})}\over {\gamma _{p+1}(x^{2})}}\).
Baricz, Árpád, Neuman, Edward
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