Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A FAMILY OF HOLOMORPHIC FUNCTIONS ASSOCIATED WITH MUTUALLY ADJOINT FUNCTIONS

  • K.R. KARTHIKEYAN (Department of Applied Mathematics and Science, National University of Science & Technology) ;
  • G. MURUGUSUNDARAMOORTHY (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology) ;
  • N.E. CHO (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University)
  • Received : 2024.04.29
  • Accepted : 2024.05.17
  • Published : 2024.07.30
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Abstract

In this paper, making use of symmetric differential operator, we introduce a new class of ℓ-symmetric - mutually adjoint functions. To make this study more comprehensive and versatile, we have used a differential operator involving three-parameter extension of the well-known Mittag-Leffler functions. Mainly we investigated the inclusion relation and subordination conditions which are the main results of the paper. To establish connections or relations with earlier studies, we have presented applications of main results as corollaries.

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Acknowledgement

The third-named author was supported by the Basic Science Research Program through the National Research Foundation of the Republic of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant No. 2019R1I1A3A01050861).

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