Makale
Tam Makale
Uluslararası
2011
SOME SUFFICIENT CONDITIONS FOR UNIVALENCE OF CERTAIN FAMILIES OF INTEGRAL OPERATORS INVOLVING GENERALIZED BESSEL FUNCTIONS
TAIWANESE JOURNAL OF MATHEMATICS
Cilt 15 · Sayı 2 · ss. 883–917 · 01.04.2011
Özet
The main object of this paper is to give sufficient conditions for certain families of integral operators, which are defined here by means of the normalized form of the generalized Bessel functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for integral operators involving the Bessel function, the modified Bessel function and the spherical Bessel function.
Anahtar kelimeler
INTEGRAL-OPERATORS
Analytic functions
univalence conditions
UNIVALENT-FUNCTIONS
Open unit disk
Generalized Bessel functions
Bessel
Modified Bessel and spherical Bessel functions
Ahlfors-Becker and Becker univalence criteria
Schwarz lemma
Atıf için künye
DENİZ, E., Orhan, H., & Srivastava, H. M. (2011). SOME SUFFICIENT CONDITIONS FOR UNIVALENCE OF CERTAIN FAMILIES OF INTEGRAL OPERATORS INVOLVING GENERALIZED BESSEL FUNCTIONS. TAIWANESE JOURNAL OF MATHEMATICS, 15(2), 883–917. https://doi.org/10.11650/twjm/1500406240
BibTeX
@article{deniz2011-73045,
author = {DENİZ, ERHAN and Orhan, Halit and Srivastava, H. M.},
title = {SOME SUFFICIENT CONDITIONS FOR UNIVALENCE OF CERTAIN FAMILIES OF INTEGRAL OPERATORS INVOLVING GENERALIZED BESSEL FUNCTIONS},
journal = {TAIWANESE JOURNAL OF MATHEMATICS},
year = {2011},
volume = {15},
number = {2},
pages = {883--917},
issn = {1027-5487},
doi = {10.11650/twjm/1500406240},
url = {https://akademik.atauni.edu.tr/yayinlar/73045-some-sufficient-conditions-for-univalence-of-certain-families-of-integral}
}