대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권2호
  • /
  • Pages.567-574
  • /
  • 2022
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY LOMMEL OPERATOR

  • 투고 : 2021.04.29
  • 심사 : 2021.09.02
  • 발행 : 2022.04.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We use convolution techniques to define certain classes of starlike functions which are associated with Lommel operator. Some inclusion results are investigated. It is also shown that these classes are invariant under Bernardi integral operator.

키워드

참고문헌

  1. A. Baricz, D. K. Dimitrov, H. Orhan, and N. Yagmur, Radii of starlikeness of some special functions, Proc. Amer. Math. Soc. 144 (2016), no. 8, 3355-3367. https://doi.org/10.1090/proc/13120
  2. S. D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135 (1969), 429-446. https://doi.org/10.2307/1995025
  3. P. Eenigenburg, S. S. Miller, P. T. Mocanu, and M. O. Reade, On a Briot-Bouquet differential subordination, Rev. Roumaine Math. Pures Appl. 29 (1984), no. 7, 567-573.
  4. S. S. Miller and P. T. Mocanu, Differential subordinations, Monographs and Textbooks in Pure and Applied Mathematics, 225, Marcel Dekker, Inc., New York, 2000.
  5. B. Pinchuk, Functions of bounded boundary rotation, Israel J. Math. 10 (1971), 6-16. https://doi.org/10.1007/BF02771515
  6. St. Ruscheweyh and T. Sheil-Small, Hadamard products of Schlicht functions and the Polya-Schoenberg conjecture, Comment. Math. Helv. 48 (1973), 119-135. https://doi.org/10.1007/BF02566116
  7. Y. J. Sim, O. S. Kwon, and N. E. Cho, Geometric properties of Lommel functions of the first kind, Symmetry 10 (2018), 445. https://doi.org/10.3390/sym10100445
  8. N. Yagmur, Hardy space of Lommel functions, Bull. Korean Math. Soc. 52 (2015), no. 3, 1035-1046. https://doi.org/10.4134/BKMS.2015.52.3.1035