A Study of New Class of Star-Like Functions Associated by Symmetric p,q-Calculus

As of late quantum calculus is broadly utilized in different parts of mathematics. Uniquely, the hypothesis of univalent functions can be newly portrayed by utilizing q-calculus. In this paper, we utilize our recently presented symmetric p,q-number m˜ p,q to characterize new symmetric p,q-derivative...

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Bibliographic Details
Main Authors: Khalid Akbar, Rashid Murtaza, null Adnan, Umar Khan, Ilyas Khan, Md. Fayz-Al-Asad
Format: article
Language:EN
Published: Hindawi Limited 2021
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Online Access:https://doaj.org/article/b80ecfb18b0f45fb84b417a3cd1b8a69
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Summary:As of late quantum calculus is broadly utilized in different parts of mathematics. Uniquely, the hypothesis of univalent functions can be newly portrayed by utilizing q-calculus. In this paper, we utilize our recently presented symmetric p,q-number m˜ p,q to characterize new symmetric p,q-derivative D p,q of analytic function f in the open unit disk U. Utilizing D p,q, we introduce new class of analytic star-like functions and examine some fascinating results.