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In this work we present some geometric properties (like star- likeness and convexity of order α and also close-to-convexity of order (1 + α)/2) for normalized of Lommel functions of the first kind. In order to prove our main results, we use the technique of differential subordina- tions and some inequalities. Furthermore, we present some applications of convexity involving Lommel functions associated with the Hardy space of analytic functions, i.e., we obtain conditions for the function hμ,v(z) to belong to the Hardy space Hp.
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참고문헌 (17)
참고문헌 신청
A. Baricz / / Close-to-convexity of some special functions and their deriva-tives / arxiv:1402.0692
A. Baricz / / Turan type inequalities for some lommel functions of the first kind / arxiv:1308.6477
A. Baricz / 2006 / Bessel transforms and Hardy space of generalized Bessel functions / Mathe-matica 48(71) (2) : 127 ~ 136
A. Baricz / 2008 / Geometric properties of generalized Bessel functions / Publ. Math. Debrecen 73 (1-2) : 155 ~ 178
A. Baricz / 2010 / Generalized Bessel functions of the first kind / Lecture Notes in Mathematics 1994
A. Baricz / / Turan type inequalities for some lommel functions of the first kind / arxiv:1308.6477
A. Baricz / 2006 / Bessel transforms and Hardy space of generalized Bessel functions / Mathe-matica 48(71) (2) : 127 ~ 136
A. Baricz / 2008 / Geometric properties of generalized Bessel functions / Publ. Math. Debrecen 73 (1-2) : 155 ~ 178
A. Baricz / 2010 / Generalized Bessel functions of the first kind / Lecture Notes in Mathematics 1994
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