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Fifth Hankel Determinant for Multivalent Bounded Turning Functions of Order


Affiliations
1 Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., India
2 Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P.., India
3 Department of Mathematics, Sri Gurajada Apparao Government Degree College, Yalamanchili- 531055, A.P., India
     

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The objective of this paper is to estimate an upper bound for the third, fourth and fifth Hankel determinants for the class of multivalent holomorphic functions, whose derivative has a positive real part of order α(0 ≤ α < 1). Further we investigate bound for 2-fold symmetric functions.

Keywords

Holomorphic Function, Upper Bound, Hankel Determinant, Carath´eodory Function.
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  • Fifth Hankel Determinant for Multivalent Bounded Turning Functions of Order

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Authors

Biswajit Rath
Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., India
K. Sanjay Kumar
Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P.., India
D. Vamshee Krishna
Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., India
Ch. Vijaya Kumar
Department of Mathematics, Sri Gurajada Apparao Government Degree College, Yalamanchili- 531055, A.P., India
N. Vani
Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., India

Abstract


The objective of this paper is to estimate an upper bound for the third, fourth and fifth Hankel determinants for the class of multivalent holomorphic functions, whose derivative has a positive real part of order α(0 ≤ α < 1). Further we investigate bound for 2-fold symmetric functions.

Keywords


Holomorphic Function, Upper Bound, Hankel Determinant, Carath´eodory Function.

References





DOI: https://doi.org/10.18311/jims%2F2023%2F34194