Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions
, 2016 In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, Kıymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
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Inequalities for the Modified k-Bessel Function
International Journal of Analysis and Applications, 2017 The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the k-Bessel functions ...
Saiful Rahman Mondal +1 more
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Discrete index transforms with Bessel and modified Bessel functions [PDF]
Analysis, 2022 Abstract Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
Yakubovich, Semyon
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An integral containing a Bessel Function and a Modified Bessel Function of the First Kind [PDF]
, 2017 Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
Sparavigna, Amelia Carolina +1 more
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Fractional-Modified Bessel Function of the First Kind of Integer Order [PDF]
Mathematics, 2023 The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas.
Andrés Martín, Ernesto Estrada
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Geometric Nature of the Turánian of Modified Bessel Function of the First Kind
AxiomsThis work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar +3 more
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Certain Aspects of Univalent Function with Negative Coefficients Defined by Bessel Function
Brazilian Archives of Biology and TechnologyKey words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with ...
Chellakutti Ramachandran +2 more
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Generalization of the modified Bessel function and its generating function [PDF]
, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Griffiths, J. +2 more
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New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean
Mathematics, 2020 Let I v x be he modified Bessel function of the first kind of order v. We prove the double inequality sinh t t cosh 1 / q q t
Zhen-Hang Yang +2 more
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Note on modified generalized Bessel function
, 2023 An attempt is made to define Modified Generalized Bessel Function, and Modified Generalized Bessel Matrix Function.
Patel, Farhatbanu H. +2 more
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