<p>In the present article, we obtain sufficient conditions on the parameters of Struve and Lommel functions of the first kind under which these functions are monotonic in the open unit disk. These results improve the recent results that appeared in [Complex Anal. Oper. Theory. 18(5)(2024), Article 120] and [Results Math. 78(4)(2023), Article 127].</p>

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On the monotony of Struve functions and Lommel functions

  • Naveen Kumari,
  • Jugal Kishore Prajapat

摘要

In the present article, we obtain sufficient conditions on the parameters of Struve and Lommel functions of the first kind under which these functions are monotonic in the open unit disk. These results improve the recent results that appeared in [Complex Anal. Oper. Theory. 18(5)(2024), Article 120] and [Results Math. 78(4)(2023), Article 127].