Solution of logarithmic coefficients conjectures for some classes of convex functions
Artykuł w czasopiśmie
MNiSW
40
Lista 2023
| Status: | |
| Autorzy: | Adegani Ebrahim Analouei, Bulboacă Teodor, Mohammed Nafya Hameed, Zaprawa Paweł |
| Dyscypliny: | |
| Aby zobaczyć szczegóły należy się zalogować. | |
| Rok wydania: | 2023 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 1 |
| Wolumen/Tom: | 73 |
| Strony: | 79 - 88 |
| Web of Science® Times Cited: | 5 |
| Scopus® Cytowania: | 5 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| In [Logarithmic coefficient bounds and coefficient conjectures for classes associated with convex functions, J. Funct. Spaces 2021 (2021), Art. ID 6690027], Alimohammadi et al. presented a few conjectures for the logarithmic coefficients γn of the functions f belonging to some well-known classes like C(1+αz) for α ∈ (0, 1], and CVhpl(1/2) . For example, it is conjectured that if the function f∈C(1+αz) , then the logarithmic coefficients of f satisfy the inequalities ∣∣∣γn∣∣∣≤α2n(n+1),n∈N. Equality is attained for the function Lα, n, that is, logLα,n(z)z=2∞∑n=1γn(Lα,n)zn=αn(n+1)zn+…,z∈U. The aim of this paper is to confirm that these conjectures hold for the coefficient γn0−1 whenever the function f has the form f(z)=z+∞∑k=n0akzk , z∈U for some n0∈N , n0⩾2. |
