International Journal of Nonlinear Analysis and Applications
Sakaguchi type function defined by $(\mathfrak{p},\mathfrak{q})$-Derivative operator using Gegenbauer polynomials
Document Type : Research Paper
Authors
1 Department of Mathematics, Agurchand Manmull Jain college, Meenambakkam, Chennai-600114, Tamil Nadu, India
2 Department of Mathematics, Patrician College of Arts and Science, Adyar, Chennai-600020, Tamil Nadu, India
3 Department of Mathematics, Bursa Uludag university, 16059, Bursa, Turkey
Abstract
An introduction of a new subclass of bi-univalent functions involving Sakaguchi type functions defined by $(\mathfrak{ p},\mathfrak{q})$-Derivative operators using Gegenbauer polynomials have been obtained. Further, the bounds for initial coefficients $ |a_{2}|$, $| a_{3}| $ and Fekete Szeg\"{o} inequality have been estimated.
Keywords
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Volume 13, Issue 2
July 2022Pages 2197-2204
- Receive Date: 25 January 2022
- Revise Date: 25 May 2022
- Accept Date: 13 June 2022