Results 1 to 10 of about 47,854 (237)
Symmetric q-Bessel functions [PDF]
Le Matematiche, 1996 q analog of bessel functions, symmetric under the interchange of q and q^ −1 are introduced. The definition is based on the generating function realized as product of symmetric q-exponential functions with appropriate arguments.
Giuseppe Dattoli, Amalia Torre
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3nj-symbols and identities for q-Bessel functions [PDF]
The Ramanujan Journal, 2017 18 pages; v2 contains minor ...
Štampach F., Šťovíček P.
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Bounds for radii of convexity of some $q$-Bessel functions [PDF]
Journal of Mathematical Analysis and Applications, 2017 In the present investigation, by applying two different normalizations of the Jackson and Hahn-Exton $q$-Bessel functions tight lower and upper bounds for the radii of convexity of the same functions are obtained. In addition, it was shown that these radii obtained are solutions of some transcendental equations.
Aktas, Ibrahim, ORHAN, Halit
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A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series [PDF]
Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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Radii problems for normalized q−Bessel and Wright functions [PDF]
Acta Universitatis Sapientiae, Mathematica, 2019 Abstract In this investigation, our main objective is to ascertain the radii of k-uniform convexity of order and the radii of strong starlikeness of the some normalized q-Bessel and Wright functions. In making this investigation we deal with the normalized Wright functions for three different kinds of normalization and six different ...
Toklu, Evrim +6 more
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Characterizing q-Bessel Functions of the First Kind with Their New Summation and Integral Representations [PDF]
Mathematics, 2023 As a powerful tool for models of quantum computing, q-calculus has drawn the attention of many researchers in the discipline of special functions. In this paper, we present new properties and characterize q-Bessel functions of the first kind using some ...
Mohammed Fadel, Nusrat Raza, Wei-Shih Du
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On the Zeros of the Big q-Bessel Functions and Applications [PDF]
Mathematics, 2020 This paper deals with the study of the zeros of the big q-Bessel functions. In particular, we prove new orthogonality relations for functions which are similar to the one for the classical Bessel functions.
Fethi Bouzeffour +2 more
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Complete solutions of inverse quantum orthogonal equivalence classes
Examples and Counterexamples, 2021 In the year 1939, the mathematician G.H. Hardy proved that the only functions f which satisfy the classical orthogonality relation ∫01f(λmt)f(λnt)dt=0,m≠n,are the Bessel functions Jν(t)under certain constraints, where ν>−1is the order of the Bessel ...
Frederick Ira Moxley, III
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Redheffer-Type Bounds of Special Functions
Mathematics, 2023 In this paper, we aim to construct inequalities of the Redheffer type for certain functions defined by the infinite product involving the zeroes of these functions.
Reem Alzahrani, Saiful R. Mondal
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Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions
Advances in Difference Equations, 2020 In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function.
Sapna Meena +3 more
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