Results 11 to 20 of about 47,854 (237)
q-Sumudu Transforms of q-Analogues of Bessel Functions [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed.
Faruk Uçar
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Applications of q-Bessel-Struve Functions on Univalent Functions [PDF]
MathematicsIn this paper, the authors derived some new sufficient conditions for q-close-to-convexity with respect to certain functions involving three different normalizations of q-Bessel–Struve functions.
Saddaf Noreen +5 more
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Close-to-Convexity of q-Bessel–Wright Functions [PDF]
Mathematics, 2022 In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel–Wright functions with respect to starlike functions, such as z1−z,z1−z2, and −log(1−z) are in the open unit disc. Some consequences related to our main results are
Muhey U. Din +4 more
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Some geometric properties of certain families of q-Bessel functions [PDF]
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2022 In this paper, we are mainly interested in finding sufficient conditions for the q-close-to-convexity of certain families of q-Bessel functions with respect to certain functions in the open unit disk. The strong convexity and strong star likeness of the same functions are also part of our investigation.
Aktaş, İbrahim, U Din, Muhey
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Toeplitz matrices and classical and q-Bessel functions [PDF]
Journal of Mathematical Analysis and Applications, 2002 The author makes use of some biinfinite Toeplitz matrix analogues of the classical and \(q\)-binomial identities in a commutative Banach algebra setting to characterize the classical and \(q\)-Bessel functions of integer order and to establish several properties of these functions.
Rubin, Richard L.
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Steep polyominoes, q-Motzkin numbers and q-Bessel functions [PDF]
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARCUCCI, ELENA +3 more
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Zeta Functions, Heat Kernel Expansions, and Asymptotics for q-Bessel Functions [PDF]
Journal of Mathematical Analysis and Applications, 1995 If the heat-kernel expansion of a spectral zeta function is known, then the corresponding Mellin transform gives rise to an analytic continuation in the complex plane. This property is classically applied to situations where the Bessel operator plays a significant role. The purpose of this study is to furnish analogues of this work associated with two \
Kvitsinsky, A.A.
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Asymptotic Expansions for q-Gamma, q-Exponential, and q-Bessel Functions [PDF]
Journal of Mathematical Analysis and Applications, 1994 The \(q\)-gamma function was introduced by Thomae. It is a slight variation of an infinite product studied by Euler, but the change allows a nicer behavior as \(q\)-changes. The present paper contains an asymptotic formula for the logarithm of the \(q\)-gamma function which reduces to Stirling's series when \(q\to 1\).
Daalhuis, A.B.O., Olde Daalhuis, A.B.
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Hansen-Lommel Orthogonality Relations for Jackson′s q-Bessel Functions [PDF]
Journal of Mathematical Analysis and Applications, 1993 The Hansen-Lommel orthogonality for the Bessel function \(J_ k(z)\) is an easy consequence of the standard generating function for \(J_ k(z)\). There are two natural \(q\)-extensions of Bessel functions to basic hypergeometric series, as a \(_ 0\varphi_ 1\) or \(_ 2\varphi_ 1\) times an infinite product as introduced by Jackson, and as a \(_ 1\varphi_ ...
Koelink, H.T.
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On some geometric properties and Hardy class of q-Bessel functions [PDF]
AIMS Mathematics, 2019 In this paper, we deal with some geometric properties including starlikeness and convexity of order $α$ of Jackson's second and third $q$-Bessel functions which are natural extensions of classical Bessel function $J_ν$. In additon, we determine some conditions on the parameters such that Jackson's second and third $q$-Bessel functions belong to the ...
Aktaş, İbrahim
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