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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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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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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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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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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
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European Journal of Pure and Applied Mathematics, 2022 A double integral whose kernel involves the Bessel functions Kv(xβ) and Jv(yα) is derived. This integral is expressed in terms of the Hurwitz-Lerch zeta function and evaluated for various values of the parameters involved. Some examples are evaluated and expressed in terms of fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
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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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