This article is to figure out what conditions are needed for scientific functions related to the Mittag-Leffler capability to fit into certain subclasses, like consistently spirallike and arched spirallike capabilities, the other within the unit circle \(\mathbb {\eta }\) . Some consequences and implications of these big findings were also checked to determine their analyticity and fit into spirallike and consistently raised to a spirallike capability types. We also examined the subclass of scientific functions introduced by the partial Ruscheweyh-Goyal derivative. Additionally, we researched an essential operator associated with the Mittag-Leffler capability. Overall, this work is aimed at understanding the core aspects of these mathematical functions, which we find crucial.

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Uniformly Spirallike Univalent Functions for the Subclasses With Mittag-Leffler Functions

  • R. Ambrose Prabhu,
  • L. Vanitha,
  • S. Prema,
  • Shyam Sundar Santra

摘要

This article is to figure out what conditions are needed for scientific functions related to the Mittag-Leffler capability to fit into certain subclasses, like consistently spirallike and arched spirallike capabilities, the other within the unit circle \(\mathbb {\eta }\) . Some consequences and implications of these big findings were also checked to determine their analyticity and fit into spirallike and consistently raised to a spirallike capability types. We also examined the subclass of scientific functions introduced by the partial Ruscheweyh-Goyal derivative. Additionally, we researched an essential operator associated with the Mittag-Leffler capability. Overall, this work is aimed at understanding the core aspects of these mathematical functions, which we find crucial.