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Your search keyword '"Baricz, Árpád"' showing total 191 results
Start Over Author "Baricz, Árpád" Publication Type Academic Journals
191 results on '"Baricz, Árpád"'

7. Infinite divisibility of the Whittaker distribution.

Author

Assefa, Genet M. and Baricz, Árpád

Subjects
*WHITTAKER functions, *HYPERGEOMETRIC functions, *GAMMA distributions, *INTEGRAL representations, *STIELTJES transform
Abstract

In this paper, by using an integral representation of Ismail and Kelker for the quotient of Tricomi hypergeometric functions, we investigate the infinite divisibility and self-decomposability of the recently defined four-parameter lifetime Whittaker distribution, which is a natural extension of the classical gamma, exponential, chi-square, generalized Lindley, Lindley, beta prime, and Lomax distributions. We also show that the Whittaker distribution belongs to the class of hyperbolically completely monotone distributions and generalized gamma convolutions, and it is a super-Gaussian distribution. By using some results for the moments of the Whittaker distribution, we also deduce some Turán type inequalities for the Whittaker functions of the second kind and as an application we show that the effective variance of the Whittaker distribution is bounded from below. [ABSTRACT FROM AUTHOR]

Published
2023
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8. Exponential bounds for the logarithmic derivative of Whittaker functions.

Author

Assefa, Genet M. and Baricz, Árpád

Subjects
*WHITTAKER functions, *DERIVATIVES (Mathematics), *BESSEL functions, *ASYMPTOTIC expansions, *HYPERGEOMETRIC functions, *DIFFERENTIAL equations
Abstract

Some well-known results of Grönwall on logarithmic derivative of modified Bessel functions of the first kind concerning exponential bounds are extended to Whittaker functions of the first and second kind M_{\kappa,\mu } and W_{\kappa,\mu }. Moreover, a complete monotonicity result is proved for the logarithmic derivative of the Whittaker function W_{\kappa,\mu }, and some monotonicity results with respect to the parameters and argument are shown for the logarithmic derivative of M_{\kappa,\mu }. The results extend and complement the known results in the literature about modified Bessel functions of the first and second kind. [ABSTRACT FROM AUTHOR]

Published
2023
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23. On starlikeness of regular Coulomb wave functions.

Author

Baricz, Árpád, Kumar, Pranav, and Singh, Sanjeev

Subjects
*COULOMB functions, *STAR-like functions, *ANALYTIC functions, *CONTINUED fractions, *BESSEL functions
Abstract

In this paper, we study some geometric properties of a class of analytic functions which is defined from the J-fraction expansion of the ratio {zf'(z)}/{f(z)}. We find the disk domain which is mapped into a starlike domain by these functions. Moreover, we study similar results for two different normalized forms of regular Coulomb wave functions and a normalized Bessel function of the first kind by using continued fractions expansions. [ABSTRACT FROM AUTHOR]

Published
2023
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