Yamaguchi -Noshiro Type Bi-Univalent Functions Associated with Sălăgean-Erdély–Kober Operator

Asma Alharbi, Gangadharan Murugusundaramoorthy and Sheza. M. El-Deeb
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Asma Alharbi: Department of Mathematics, College of Science and Arts, ArRass, Qassim University, Buraidah 51452, Saudi Arabia
Gangadharan Murugusundaramoorthy: School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, TN, India
Sheza. M. El-Deeb: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Mathematics, 2022, vol. 10, issue 13, 1-14

Abstract: We defined two new subclasses of analytic bi-univalent function class Σ , in the open unit disk related with the Sălăgean–Erdély–Kober operator. The bounds on initial coefficients | a 2 | , | a 3 | and | a 4 | for the functions in these new subclasses of Σ are investigated. Using the estimates of coefficients a 2 , a 3 , we also discuss the Fekete-Szegö inequality results for the function classes defined in this paper. Relevant connections of these results, presented here as corollaries, are new and not studied in association with Sălăgean-Erdély–Kober operator for the subclasses defined earlier.

Keywords: univalent functions; analytic functions; bi-univalent functions; S?l?gean operator; Erdély–Kober fractional-order derivative; coefficient bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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