@article{MTMT:1370063, title = {Starlikeness and convexity of generalized Bessel functions}, url = {https://m2.mtmt.hu/api/publication/1370063}, author = {Baricz, Árpád and Ponnusamy, Saminathan}, doi = {10.1080/10652460903516736}, journal-iso = {INTEGR TRANSF SPEC F}, journal = {INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS}, volume = {21}, unique-id = {1370063}, issn = {1065-2469}, abstract = {In this paper, we give sufficient conditions for the parameters of the normalized form of the generalized Bessel functions to be convex and starlike in the open unit disk. As an application of our main results, we solve a recent open problem concerning a subordination property of Bessel functions with different parameters. Moreover, we present a new inequality for the Euler gamma function, which we apply in order to have tight bounds for the generalized and normalized Bessel function of the first kind.}, year = {2010}, eissn = {1476-8291}, pages = {641-653} } @article{MTMT:1353021, title = {Geometric properties of generalized Bessel functions}, url = {https://m2.mtmt.hu/api/publication/1353021}, author = {Baricz, Árpád}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {73}, unique-id = {1353021}, issn = {0033-3883}, year = {2008}, eissn = {2064-2849}, pages = {155-178} } @article{MTMT:1353027, title = {Functional inequalities involving special functions. II.}, url = {https://m2.mtmt.hu/api/publication/1353027}, author = {Baricz, Árpád}, doi = {10.1016/j.jmaa.2006.05.006}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {327}, unique-id = {1353027}, issn = {0022-247X}, abstract = {This paper is motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen. We prove a chain of inequalities for hypergeometric functions, generalized and normalized Bessel functions, Kummer functions and for some general power series. Some particular cases and refinements are given.}, year = {2007}, eissn = {1096-0813}, pages = {1202-1213} } @article{MTMT:1353028, title = {Some inequalities involving generalized Bessel functions}, url = {https://m2.mtmt.hu/api/publication/1353028}, author = {Baricz, Árpád}, journal-iso = {MATH INEQUAL APPL}, journal = {MATHEMATICAL INEQUALITIES & APPLICATIONS}, volume = {10}, unique-id = {1353028}, issn = {1331-4343}, year = {2007}, eissn = {1331-4343}, pages = {827-842} } @article{MTMT:1353026, title = {Functional inequalities involving special functions}, url = {https://m2.mtmt.hu/api/publication/1353026}, author = {Baricz, Árpád}, doi = {10.1016/j.jmaa.2005.06.052}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {319}, unique-id = {1353026}, issn = {0022-247X}, year = {2006}, eissn = {1096-0813}, pages = {450-459} }