Pregled bibliografske jedinice broj: 795736
Starlikeness of a cross-product of Bessel functions
Starlikeness of a cross-product of Bessel functions // Journal of Mathematical Inequalities, 10 (2016), 3; 819-827 doi:10.7153/jmi-10-66 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 795736 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Starlikeness of a cross-product of Bessel functions
Autori
Al-Kharsani, Huda A. ; Baricz Arpad ; Poganj, Tibor
Izvornik
Journal of Mathematical Inequalities (1846-579X) 10
(2016), 3;
819-827
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bessel functions of the fi rst kind; Modifi ed Bessel functions of the fi rst kind; Close-to-convex functions; Starlike functions; Transcendental entire functions; Zeros of cross-product of Bessel functions; Infi nite product.
Sažetak
In this paper a necessary and sufficient condition is deduced for the close-to-convexity of a cross- product of Bessel and modifi ed Bessel functions of the fi rst kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives, the newly discovered power series and in finite product representation of this cross-product, as well as a slightly modi fied version of a result of Lorch on the monotonicity of the zeros of the cross-product with respect to the order.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Referativnij Zhurnal matematika
