In the present paper, we introduce two new subclasses of the function class of bi-univalent functions defi ned in the open unit disc U . We find the bounds on the initial coefficients c2 and c3 and upper bounds for the Fekete-Szego functional for the functions in this class.Motivated by the work of H. M. Srivastava et al. construct a new subclass of biunivalent functions governed by the Pascal distribution series. Then, we investigate the optimal bounds for the Taylor - Maclaurin coefficients c2 and c3 in our new subclass. In Communications and Engineering elds the Pascal distribution has been widely used (see [11]). Recently, in geometric function theory, there has been a growing interest in studying the geometric properties of analytic functions associated with the Pascal distribution. This distribution is based on the binomial theorem with a negative exponent and it describes the probability of m success and n failure in (n + m-1) trials, and success on (n + m)th trials where (1- q) is the probability of success.
Thirupathi, G. (2024). COEFFICIENT ESTIMATES FOR SUBCLASSES OF BI-UNIVALENT FUNCTIONS WITH PASCAL OPERATOR. Journal of Fractional Calculus and Applications, 15(1), 1-9. doi: 10.21608/jfca.2024.221079.1021
MLA
G Thirupathi. "COEFFICIENT ESTIMATES FOR SUBCLASSES OF BI-UNIVALENT FUNCTIONS WITH PASCAL OPERATOR". Journal of Fractional Calculus and Applications, 15, 1, 2024, 1-9. doi: 10.21608/jfca.2024.221079.1021
HARVARD
Thirupathi, G. (2024). 'COEFFICIENT ESTIMATES FOR SUBCLASSES OF BI-UNIVALENT FUNCTIONS WITH PASCAL OPERATOR', Journal of Fractional Calculus and Applications, 15(1), pp. 1-9. doi: 10.21608/jfca.2024.221079.1021
VANCOUVER
Thirupathi, G. COEFFICIENT ESTIMATES FOR SUBCLASSES OF BI-UNIVALENT FUNCTIONS WITH PASCAL OPERATOR. Journal of Fractional Calculus and Applications, 2024; 15(1): 1-9. doi: 10.21608/jfca.2024.221079.1021
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