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In this article we study the inclusion properties of the Bessel-Struve kernel functions in the Janowski class. In particular, we find the conditions for which the Bessel-Struve kernel functions maps the unit disk to right half plane. Some open problems with this aspect are also given. The third order differential subordination involving the Bessel-Struve kernel is also considered. The results are derived by defining suitable classes of admissible functions. One of the recurrence relation of the Bessel-Struve kernel play an important role to derive the main results.
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참고문헌 (17)
참고문헌 신청
R. M. Ali / 2011 / Janowski starlikeness for a class of analytic functions / Appl. Math. Lett. 24(4):501~505
R. M. Ali / 2011 / Second-order differential subordination for analytic functions with fixed initial coeffcient / Bull. Malays. Math. Sci. Soc. 34(2;3):611~629
R. M. Ali / 2007 / Suffcient conditions for Janowski starlikeness / Int. J. Math. Math. Sci. 2007:7
R. M. Ali / 2008 / Subordination and superordination on Schwarzian derivatives / J. Inequal. Appl. 2008:18
R. M. Ali / 2008 / Subordination and superordination of the Liu-Srivastava linear operator on meromorphic functions / Bull. Malays. Math. Sci. Soc. 31(2):193~207
R. M. Ali / 2011 / Second-order differential subordination for analytic functions with fixed initial coeffcient / Bull. Malays. Math. Sci. Soc. 34(2;3):611~629
R. M. Ali / 2007 / Suffcient conditions for Janowski starlikeness / Int. J. Math. Math. Sci. 2007:7
R. M. Ali / 2008 / Subordination and superordination on Schwarzian derivatives / J. Inequal. Appl. 2008:18
R. M. Ali / 2008 / Subordination and superordination of the Liu-Srivastava linear operator on meromorphic functions / Bull. Malays. Math. Sci. Soc. 31(2):193~207
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