Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions | Zendy

Hameed Ur Rehman | Zendy; Maslina Darus | Zendy; Jamal Salah | Zendy

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Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions

Author(s) -

Hameed Ur Rehman,

Maslina Darus,

Jamal Salah

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6621315

Subject(s) - mathematics , unit disk , class (philosophy) , term (time) , polynomial , analytic function , discrete mathematics , pure mathematics , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence

In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured to solve certain coefficient problems. This formula is applied to a certain class of bi-univalent functions and solve the - th term of its coefficient problems. In the last section of the article, several well-known classes are also extended to its - th term.

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