Starlikeness of Bessel functions and their derivatives
نویسندگان
چکیده
منابع مشابه
Asymptotic formulae for the Lommel and Bessel functions and their derivatives
We derive new approximate representations of the Lommel functions in terms of the Scorer function and approximate representations of the first derivative of the Lommel functions in terms of the derivative of the Scorer function. Using the same method, we obtain previously known approximate representations of the Nicholson type for Bessel functions and their first derivatives. We study also for ...
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In this paper, we derive conditions on the parameters a, b, c so that the function zF (a, b; c; z) is starlike in D, where F (a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator.
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چکیده ندارد.
15 صفحه اولSome Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions
A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2016
ISSN: 1331-4343
DOI: 10.7153/mia-19-35