Open AccessA Comprehensive Family of Biunivalent Functions Defined by-Fibonacci Numbers
Author(s) -
B. A. Frasin,
Sondekola Rudra Swamy,
Ibtisam Aldawish
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/4249509
Subject(s) - combinatorics , fibonacci number , mathematics
By using k -Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type g z = z + ∑ j = 2 ∞ d j z j in the open unit disc D . We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szegö for functions in this family. We also discuss few interesting observations and provide relevant connections of the result investigated.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom