Results 11 to 20 of about 58,663 (206)
An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 more
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Geometric perspective of generalized Bessel function
Journal of Inequalities and ApplicationsIn this study, we extend and refine several results concerning the geometric properties of generalized Bessel functions established by Á. Baricz (Mathematica 48(71):1318, 2006).
Hanaa M. Zayed +2 more
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On one generalization of Bessel function
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper the generalized Bessel function $J_{\mu ,\omega } ( x )$ is introduced. The function $J_{\mu ,\omega } ( x )$ is given as one solution of the following differential equation: $$ x^2{y}''+x{y}'+\left( {x-\mu ^2} \right)\left( {x+\omega ^2 ...
Nina A Virchenko, Maria O Chetvertak
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A study on integral transforms of the generalized Lommel-Wright function [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The aim of this article is to establish integral transforms of the generalized Lommel-Wright function. Methods: These transforms are expressed in terms of the Wright Hypergeometric function.
Mohammad Saeed Khan +3 more
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Some Fractional Operators with the Generalized Bessel–Maitland Function
Discrete Dynamics in Nature and Society, 2020 In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop
R. S. Ali +5 more
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Unified integral associated with the generalized V-function
Advances in Difference Equations, 2020 In this paper, we present two new unified integral formulas involving a generalized V-function. Some interesting special cases of the main results are also considered in the form of corollaries.
S. Chandak +2 more
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Composition Formula for Saigo Fractional Integral Operator Associated with V-Function
Journal of Mathematics, 2022 In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak +2 more
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Partial sums of generalized Bessel functions [PDF]
Journal of Mathematical Inequalities, 2014 Let gp,b,c n (z )= z+ n ∑ m=1 bmz m+1 be the sequence of partial sums of generalized ∞ ∑ m=1 bmz m+1 where bm = (−c/4) m m!(κ)m and κ :=
Yagmur, Nihat, ORHAN, Halit
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Recursive algorithm for arrays of generalized Bessel functions: Numerical access to Dirac-Volkov solutions [PDF]
, 2009 In the relativistic and the nonrelativistic theoretical treatment of moderate and high-power laser-matter interaction, the generalized Bessel function occurs naturally when a Schr\"odinger-Volkov and Dirac-Volkov solution is expanded into plane waves ...
Jentschura, Ulrich D., Lötstedt, Erik
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Differential Subordinations Involving Generalized Bessel Functions [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2014 In this paper our aim is to present some subordination and superordination results, by using an operator, which involves the normalized form of the generalized Bessel functions of first kind. These results are obtained by investigating some appropriate classes of admissible functions.
DENİZ, ERHAN +3 more
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