Results 11 to 20 of about 6,388 (244)
Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind [PDF]
Mathematics, 2019 In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities ...
Feng Qi, Shao-Wen Yao, Bai-Ni Guo
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Inequalities involving Bessel and modified Bessel functions [PDF]
Journal of Mathematical Analysis and Applications, 1990 The authors define a self-adjoint and compact operator whose eigenvalues are given by \(\pm 2/j_{\nu k}\), where \(j_{\nu k}\) is the kth positive zero of the Bessel function \(J_{\nu}(x)\) of the first kind. Using operator techniques the authors derive some lower and upper bounds for \(J_{\nu +1}(x)/J_{\nu}(x)\) and \(I_{\nu +1}(x)/I_{\nu}(x)\), where
Ifantis, E.K., Siafarikas, P.D.
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Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions [PDF]
Journal of Kufa for Mathematics and Computer, 2018 We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
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Functional inequalities for modified Bessel functions [PDF]
Expositiones Mathematicae, 2011 In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of these functions, which are in fact equivalent to the corresponding Turán type inequalities for these functions.
Baricz, Árpád +2 more
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Extension of Oppenheim's Problem to Bessel Functions [PDF]
Journal of Inequalities and Applications, 2008 Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
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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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Calcul des fonctions de Bessel modifiées à arguments complexes Modified Bessel Functions for Complex Arguments [PDF]
Oil & Gas Science and Technology, 2006 Une méthode de calcul des fonctions In et Kn (fonctions de Bessel modifiées de première et deuxième espèce) à arguments complexes est présentée. Cette méthode conçue pour des ordinateurs vectoriels permet un gain notable de temps de calcul par rapport ...
Quiblier J.
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Functional inequalities involving Bessel and modified Bessel functions of the first kind [PDF]
Expositiones Mathematicae, 2008 Since the sine and cosine functions and the hyperbolic sine and cosine functions are particular cases of Bessel and modifed Bessel functions, the author extends the inequality \(\cosh x-1\), where \(\Gamma\) is Euler gamma function and \(I_{p}(x)\) is the modified Bessel function of first kind. Some properties and inequalities satisfied by \(G_{p}(x)\)
Baricz, Árpád
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Indefinite integrals involving Bessel functions [PDF]
, 1967 Expressions are derived for the indefinite integrals, [equations] where C0(ar)are zero order Bessel functions, Z0(Ar) are zero order modified Bessel functions and f(r) is a polynomial in r.
Peavy, B. A.
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Bounds and algorithms for the K-Bessel function of imaginary order [PDF]
, 2013 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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