Bi-univalent functions subordinated to a three leaf function induced by multiplicative calculus

  • Murugusundaramoorthy, G.
  • Vijaya, K.
  • Karthikeyan, K.R.
  • El-Deeb, Sheza M.
  • Ro, Jong-Suk
Citations

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초록

Our aim was to develop a new class of bi starlike functions by utilizing the concept of subordination, driven by the idea of multiplicative calculus, specifically multiplicative derivatives. Several restrictions were imposed, which were indeed strict constraints, because we have tried to work within the current framework or the design of analytic functions. To make the study more versatile, we redefined our new class of function with Miller-Ross Poisson distribution (MRPD), in order to increase the study’s adaptability. We derived the first coefficient estimates and Fekete-Szegő inequalities for functions in this new class. To demonstrate the characteristics, we have provided a few examples.

키워드

analytic functionbi-univalent functionconvolutionMiller-Ross functionmultiplicative calculussubordinationPoisson distribution
제목
Bi-univalent functions subordinated to a three leaf function induced by multiplicative calculus
저자
Murugusundaramoorthy, G.Vijaya, K.Karthikeyan, K.R.El-Deeb, Sheza M.Ro, Jong-Suk
DOI
10.3934/math.20241313
발행일
2024-09
유형
Article
저널명
AIMS Mathematics
9
10
페이지
26983 ~ 26999

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